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Finding the Fourth Proportional to 12,712.12, 17,542.06 and 7,407.48

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Solution

The fourth proportional to 12,712.12, 17,542.06 and 7,407.48 is: 10,221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.12 : 17,542.06 = 7,407.48 : x
  2. Step 2: Convert to fraction form
    12,712.12/17,542.06 = 7,407.48/x
  3. Step 3: Cross multiply
    12,712.12x = 17,542.06 × 7,407.48
  4. Step 4: Simplify right side
    12,712.12x = 129,942,458.61
  5. Step 5: Solve for x
    x = 129,942,458.61/12,712.12
  6. Step 6: Final answer
    x = 10,221.93

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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.