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Finding the Fourth Proportional to 11,597.14, 17,397.88 and 5,272.48

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Solution

The fourth proportional to 11,597.14, 17,397.88 and 5,272.48 is: 7,909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.14 : 17,397.88 = 5,272.48 : x
  2. Step 2: Convert to fraction form
    11,597.14/17,397.88 = 5,272.48/x
  3. Step 3: Cross multiply
    11,597.14x = 17,397.88 × 5,272.48
  4. Step 4: Simplify right side
    11,597.14x = 91,729,974.34
  5. Step 5: Solve for x
    x = 91,729,974.34/11,597.14
  6. Step 6: Final answer
    x = 7,909.71

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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.