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Finding the Fourth Proportional to 10,404.87, 14,358.72 and 5,689.16

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Solution

The fourth proportional to 10,404.87, 14,358.72 and 5,689.16 is: 7,851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.87 : 14,358.72 = 5,689.16 : x
  2. Step 2: Convert to fraction form
    10,404.87/14,358.72 = 5,689.16/x
  3. Step 3: Cross multiply
    10,404.87x = 14,358.72 × 5,689.16
  4. Step 4: Simplify right side
    10,404.87x = 81,688,983.68
  5. Step 5: Solve for x
    x = 81,688,983.68/10,404.87
  6. Step 6: Final answer
    x = 7,851.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.