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Finding the Fourth Proportional to 8,043.84, 12,065.76 and 5,119.20

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Solution

The fourth proportional to 8,043.84, 12,065.76 and 5,119.20 is: 7,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043.84 : 12,065.76 = 5,119.20 : x
  2. Step 2: Convert to fraction form
    8,043.84/12,065.76 = 5,119.20/x
  3. Step 3: Cross multiply
    8,043.84x = 12,065.76 × 5,119.20
  4. Step 4: Simplify right side
    8,043.84x = 61,767,038.59
  5. Step 5: Solve for x
    x = 61,767,038.59/8,043.84
  6. Step 6: Final answer
    x = 7,678.80

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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.