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Finding the Fourth Proportional to 10,715.52, 16,073.26 and 2,924.32

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Solution

The fourth proportional to 10,715.52, 16,073.26 and 2,924.32 is: 4,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.52 : 16,073.26 = 2,924.32 : x
  2. Step 2: Convert to fraction form
    10,715.52/16,073.26 = 2,924.32/x
  3. Step 3: Cross multiply
    10,715.52x = 16,073.26 × 2,924.32
  4. Step 4: Simplify right side
    10,715.52x = 47,003,355.68
  5. Step 5: Solve for x
    x = 47,003,355.68/10,715.52
  6. Step 6: Final answer
    x = 4,386.47

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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.