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Finding the Fourth Proportional to 7,542.41, 11,315.70 and 7,542.41

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Solution

The fourth proportional to 7,542.41, 11,315.70 and 7,542.41 is: 11,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.41 : 11,315.70 = 7,542.41 : x
  2. Step 2: Convert to fraction form
    7,542.41/11,315.70 = 7,542.41/x
  3. Step 3: Cross multiply
    7,542.41x = 11,315.70 × 7,542.41
  4. Step 4: Simplify right side
    7,542.41x = 85,347,592.26
  5. Step 5: Solve for x
    x = 85,347,592.26/7,542.41
  6. Step 6: Final answer
    x = 11,315.70

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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.