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Finding the Fourth Proportional to 10,043.10, 15,064.65 and 8,099.10

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Solution

The fourth proportional to 10,043.10, 15,064.65 and 8,099.10 is: 12,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.10 : 15,064.65 = 8,099.10 : x
  2. Step 2: Convert to fraction form
    10,043.10/15,064.65 = 8,099.10/x
  3. Step 3: Cross multiply
    10,043.10x = 15,064.65 × 8,099.10
  4. Step 4: Simplify right side
    10,043.10x = 122,010,106.82
  5. Step 5: Solve for x
    x = 122,010,106.82/10,043.10
  6. Step 6: Final answer
    x = 12,148.65

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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.