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Finding the Fourth Proportional to 10,871.40, 16,307.10 and 8,279.40

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Solution

The fourth proportional to 10,871.40, 16,307.10 and 8,279.40 is: 12,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.40 : 16,307.10 = 8,279.40 : x
  2. Step 2: Convert to fraction form
    10,871.40/16,307.10 = 8,279.40/x
  3. Step 3: Cross multiply
    10,871.40x = 16,307.10 × 8,279.40
  4. Step 4: Simplify right side
    10,871.40x = 135,013,003.74
  5. Step 5: Solve for x
    x = 135,013,003.74/10,871.40
  6. Step 6: Final answer
    x = 12,419.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.