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Finding the Fourth Proportional to 10,151.52, 15,227.22 and 3,827.58

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Solution

The fourth proportional to 10,151.52, 15,227.22 and 3,827.58 is: 5,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.52 : 15,227.22 = 3,827.58 : x
  2. Step 2: Convert to fraction form
    10,151.52/15,227.22 = 3,827.58/x
  3. Step 3: Cross multiply
    10,151.52x = 15,227.22 × 3,827.58
  4. Step 4: Simplify right side
    10,151.52x = 58,283,402.73
  5. Step 5: Solve for x
    x = 58,283,402.73/10,151.52
  6. Step 6: Final answer
    x = 5,741.35

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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.