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Finding the Fourth Proportional to 12,711.06, 17,541.29 and 7,045.91

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Solution

The fourth proportional to 12,711.06, 17,541.29 and 7,045.91 is: 9,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.06 : 17,541.29 = 7,045.91 : x
  2. Step 2: Convert to fraction form
    12,711.06/17,541.29 = 7,045.91/x
  3. Step 3: Cross multiply
    12,711.06x = 17,541.29 × 7,045.91
  4. Step 4: Simplify right side
    12,711.06x = 123,594,227.69
  5. Step 5: Solve for x
    x = 123,594,227.69/12,711.06
  6. Step 6: Final answer
    x = 9,723.36

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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.