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Finding the Fourth Proportional to 7,638.84, 11,452.26 and 5,142.78

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Solution

The fourth proportional to 7,638.84, 11,452.26 and 5,142.78 is: 7,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.84 : 11,452.26 = 5,142.78 : x
  2. Step 2: Convert to fraction form
    7,638.84/11,452.26 = 5,142.78/x
  3. Step 3: Cross multiply
    7,638.84x = 11,452.26 × 5,142.78
  4. Step 4: Simplify right side
    7,638.84x = 58,896,453.68
  5. Step 5: Solve for x
    x = 58,896,453.68/7,638.84
  6. Step 6: Final answer
    x = 7,710.13

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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.