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Finding the Fourth Proportional to 10,665.77, 15,983.62 and 5,037.44

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Solution

The fourth proportional to 10,665.77, 15,983.62 and 5,037.44 is: 7,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.77 : 15,983.62 = 5,037.44 : x
  2. Step 2: Convert to fraction form
    10,665.77/15,983.62 = 5,037.44/x
  3. Step 3: Cross multiply
    10,665.77x = 15,983.62 × 5,037.44
  4. Step 4: Simplify right side
    10,665.77x = 80,516,526.73
  5. Step 5: Solve for x
    x = 80,516,526.73/10,665.77
  6. Step 6: Final answer
    x = 7,549.06

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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.