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Finding the Fourth Proportional to 10,665.54, 15,998.24 and 5,737.50

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Solution

The fourth proportional to 10,665.54, 15,998.24 and 5,737.50 is: 8,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.54 : 15,998.24 = 5,737.50 : x
  2. Step 2: Convert to fraction form
    10,665.54/15,998.24 = 5,737.50/x
  3. Step 3: Cross multiply
    10,665.54x = 15,998.24 × 5,737.50
  4. Step 4: Simplify right side
    10,665.54x = 91,789,916.34
  5. Step 5: Solve for x
    x = 91,789,916.34/10,665.54
  6. Step 6: Final answer
    x = 8,606.21

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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.