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Finding the Fourth Proportional to 12,712.79, 17,542.81 and 7,122.71

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Solution

The fourth proportional to 12,712.79, 17,542.81 and 7,122.71 is: 9,828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.79 : 17,542.81 = 7,122.71 : x
  2. Step 2: Convert to fraction form
    12,712.79/17,542.81 = 7,122.71/x
  3. Step 3: Cross multiply
    12,712.79x = 17,542.81 × 7,122.71
  4. Step 4: Simplify right side
    12,712.79x = 124,952,348.22
  5. Step 5: Solve for x
    x = 124,952,348.22/12,712.79
  6. Step 6: Final answer
    x = 9,828.87

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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.