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Finding the Fourth Proportional to 10,553.31, 15,833.13 and 3,158.01

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Solution

The fourth proportional to 10,553.31, 15,833.13 and 3,158.01 is: 4,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.31 : 15,833.13 = 3,158.01 : x
  2. Step 2: Convert to fraction form
    10,553.31/15,833.13 = 3,158.01/x
  3. Step 3: Cross multiply
    10,553.31x = 15,833.13 × 3,158.01
  4. Step 4: Simplify right side
    10,553.31x = 50,001,182.87
  5. Step 5: Solve for x
    x = 50,001,182.87/10,553.31
  6. Step 6: Final answer
    x = 4,737.96

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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.