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Finding the Fourth Proportional to 10,347.74, 15,522.62 and 3,772.38

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Solution

The fourth proportional to 10,347.74, 15,522.62 and 3,772.38 is: 5,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.74 : 15,522.62 = 3,772.38 : x
  2. Step 2: Convert to fraction form
    10,347.74/15,522.62 = 3,772.38/x
  3. Step 3: Cross multiply
    10,347.74x = 15,522.62 × 3,772.38
  4. Step 4: Simplify right side
    10,347.74x = 58,557,221.24
  5. Step 5: Solve for x
    x = 58,557,221.24/10,347.74
  6. Step 6: Final answer
    x = 5,658.94

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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.