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Finding the Fourth Proportional to 12,711.19, 17,541.47 and 7,046.03

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Solution

The fourth proportional to 12,711.19, 17,541.47 and 7,046.03 is: 9,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.19 : 17,541.47 = 7,046.03 : x
  2. Step 2: Convert to fraction form
    12,711.19/17,541.47 = 7,046.03/x
  3. Step 3: Cross multiply
    12,711.19x = 17,541.47 × 7,046.03
  4. Step 4: Simplify right side
    12,711.19x = 123,597,600.93
  5. Step 5: Solve for x
    x = 123,597,600.93/12,711.19
  6. Step 6: Final answer
    x = 9,723.53

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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.