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Finding the Fourth Proportional to 8,402.73, 11,591.88 and 5,419.53

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Solution

The fourth proportional to 8,402.73, 11,591.88 and 5,419.53 is: 7,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.73 : 11,591.88 = 5,419.53 : x
  2. Step 2: Convert to fraction form
    8,402.73/11,591.88 = 5,419.53/x
  3. Step 3: Cross multiply
    8,402.73x = 11,591.88 × 5,419.53
  4. Step 4: Simplify right side
    8,402.73x = 62,822,541.42
  5. Step 5: Solve for x
    x = 62,822,541.42/8,402.73
  6. Step 6: Final answer
    x = 7,476.44

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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.