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Finding the Fourth Proportional to 12,597.31, 17,384.87 and 7,291.10

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Solution

The fourth proportional to 12,597.31, 17,384.87 and 7,291.10 is: 10,062.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.31 : 17,384.87 = 7,291.10 : x
  2. Step 2: Convert to fraction form
    12,597.31/17,384.87 = 7,291.10/x
  3. Step 3: Cross multiply
    12,597.31x = 17,384.87 × 7,291.10
  4. Step 4: Simplify right side
    12,597.31x = 126,754,789.20
  5. Step 5: Solve for x
    x = 126,754,789.20/12,597.31
  6. Step 6: Final answer
    x = 10,062.06

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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.