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Finding the Fourth Proportional to 11,262.61, 15,542.40 and 6,158.14

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Solution

The fourth proportional to 11,262.61, 15,542.40 and 6,158.14 is: 8,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.61 : 15,542.40 = 6,158.14 : x
  2. Step 2: Convert to fraction form
    11,262.61/15,542.40 = 6,158.14/x
  3. Step 3: Cross multiply
    11,262.61x = 15,542.40 × 6,158.14
  4. Step 4: Simplify right side
    11,262.61x = 95,712,275.14
  5. Step 5: Solve for x
    x = 95,712,275.14/11,262.61
  6. Step 6: Final answer
    x = 8,498.23

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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.