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Finding the Fourth Proportional to 12,537.47, 17,301.16 and 7,498.77

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Solution

The fourth proportional to 12,537.47, 17,301.16 and 7,498.77 is: 10,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.47 : 17,301.16 = 7,498.77 : x
  2. Step 2: Convert to fraction form
    12,537.47/17,301.16 = 7,498.77/x
  3. Step 3: Cross multiply
    12,537.47x = 17,301.16 × 7,498.77
  4. Step 4: Simplify right side
    12,537.47x = 129,737,419.57
  5. Step 5: Solve for x
    x = 129,737,419.57/12,537.47
  6. Step 6: Final answer
    x = 10,347.97

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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.