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Finding the Fourth Proportional to 11,862.71, 16,370.37 and 6,557.42

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Solution

The fourth proportional to 11,862.71, 16,370.37 and 6,557.42 is: 9,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.71 : 16,370.37 = 6,557.42 : x
  2. Step 2: Convert to fraction form
    11,862.71/16,370.37 = 6,557.42/x
  3. Step 3: Cross multiply
    11,862.71x = 16,370.37 × 6,557.42
  4. Step 4: Simplify right side
    11,862.71x = 107,347,391.65
  5. Step 5: Solve for x
    x = 107,347,391.65/11,862.71
  6. Step 6: Final answer
    x = 9,049.15

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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.