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Finding the Fourth Proportional to 7,505.34, 11,257.27 and 2,575.47

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Solution

The fourth proportional to 7,505.34, 11,257.27 and 2,575.47 is: 3,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.34 : 11,257.27 = 2,575.47 : x
  2. Step 2: Convert to fraction form
    7,505.34/11,257.27 = 2,575.47/x
  3. Step 3: Cross multiply
    7,505.34x = 11,257.27 × 2,575.47
  4. Step 4: Simplify right side
    7,505.34x = 28,992,761.17
  5. Step 5: Solve for x
    x = 28,992,761.17/7,505.34
  6. Step 6: Final answer
    x = 3,862.95

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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.