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Finding the Fourth Proportional to 7,136.52, 9,857.82 and 5,478.42

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Solution

The fourth proportional to 7,136.52, 9,857.82 and 5,478.42 is: 7,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.52 : 9,857.82 = 5,478.42 : x
  2. Step 2: Convert to fraction form
    7,136.52/9,857.82 = 5,478.42/x
  3. Step 3: Cross multiply
    7,136.52x = 9,857.82 × 5,478.42
  4. Step 4: Simplify right side
    7,136.52x = 54,005,257.70
  5. Step 5: Solve for x
    x = 54,005,257.70/7,136.52
  6. Step 6: Final answer
    x = 7,567.45

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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.