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Finding the Fourth Proportional to 10,378.64, 15,564.91 and 4,753.12

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Solution

The fourth proportional to 10,378.64, 15,564.91 and 4,753.12 is: 7,128.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.64 : 15,564.91 = 4,753.12 : x
  2. Step 2: Convert to fraction form
    10,378.64/15,564.91 = 4,753.12/x
  3. Step 3: Cross multiply
    10,378.64x = 15,564.91 × 4,753.12
  4. Step 4: Simplify right side
    10,378.64x = 73,981,916.10
  5. Step 5: Solve for x
    x = 73,981,916.10/10,378.64
  6. Step 6: Final answer
    x = 7,128.29

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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.