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Finding the Fourth Proportional to 10,614.10, 15,915.66 and 4,765.70

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Solution

The fourth proportional to 10,614.10, 15,915.66 and 4,765.70 is: 7,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.10 : 15,915.66 = 4,765.70 : x
  2. Step 2: Convert to fraction form
    10,614.10/15,915.66 = 4,765.70/x
  3. Step 3: Cross multiply
    10,614.10x = 15,915.66 × 4,765.70
  4. Step 4: Simplify right side
    10,614.10x = 75,849,260.86
  5. Step 5: Solve for x
    x = 75,849,260.86/10,614.10
  6. Step 6: Final answer
    x = 7,146.09

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