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Finding the Fourth Proportional to 12,711.06, 17,540.61 and 7,045.74

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Solution

The fourth proportional to 12,711.06, 17,540.61 and 7,045.74 is: 9,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.06 : 17,540.61 = 7,045.74 : x
  2. Step 2: Convert to fraction form
    12,711.06/17,540.61 = 7,045.74/x
  3. Step 3: Cross multiply
    12,711.06x = 17,540.61 × 7,045.74
  4. Step 4: Simplify right side
    12,711.06x = 123,586,577.50
  5. Step 5: Solve for x
    x = 123,586,577.50/12,711.06
  6. Step 6: Final answer
    x = 9,722.76

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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.