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Finding the Fourth Proportional to 11,177.90, 15,425.53 and 6,142.22

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Solution

The fourth proportional to 11,177.90, 15,425.53 and 6,142.22 is: 8,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.90 : 15,425.53 = 6,142.22 : x
  2. Step 2: Convert to fraction form
    11,177.90/15,425.53 = 6,142.22/x
  3. Step 3: Cross multiply
    11,177.90x = 15,425.53 × 6,142.22
  4. Step 4: Simplify right side
    11,177.90x = 94,746,906.39
  5. Step 5: Solve for x
    x = 94,746,906.39/11,177.90
  6. Step 6: Final answer
    x = 8,476.27

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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.