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Finding the Fourth Proportional to 10,337.27, 14,264.82 and 5,862.11

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Solution

The fourth proportional to 10,337.27, 14,264.82 and 5,862.11 is: 8,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.27 : 14,264.82 = 5,862.11 : x
  2. Step 2: Convert to fraction form
    10,337.27/14,264.82 = 5,862.11/x
  3. Step 3: Cross multiply
    10,337.27x = 14,264.82 × 5,862.11
  4. Step 4: Simplify right side
    10,337.27x = 83,621,872.65
  5. Step 5: Solve for x
    x = 83,621,872.65/10,337.27
  6. Step 6: Final answer
    x = 8,089.36

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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.