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Finding the Fourth Proportional to 12,734.52, 17,575.72 and 7,071.11

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Solution

The fourth proportional to 12,734.52, 17,575.72 and 7,071.11 is: 9,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.52 : 17,575.72 = 7,071.11 : x
  2. Step 2: Convert to fraction form
    12,734.52/17,575.72 = 7,071.11/x
  3. Step 3: Cross multiply
    12,734.52x = 17,575.72 × 7,071.11
  4. Step 4: Simplify right side
    12,734.52x = 124,279,761.57
  5. Step 5: Solve for x
    x = 124,279,761.57/12,734.52
  6. Step 6: Final answer
    x = 9,759.28

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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.