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Finding the Fourth Proportional to 7,154.75, 9,877.27 and 5,557.82

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Solution

The fourth proportional to 7,154.75, 9,877.27 and 5,557.82 is: 7,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.75 : 9,877.27 = 5,557.82 : x
  2. Step 2: Convert to fraction form
    7,154.75/9,877.27 = 5,557.82/x
  3. Step 3: Cross multiply
    7,154.75x = 9,877.27 × 5,557.82
  4. Step 4: Simplify right side
    7,154.75x = 54,896,099.55
  5. Step 5: Solve for x
    x = 54,896,099.55/7,154.75
  6. Step 6: Final answer
    x = 7,672.68

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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.