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Finding the Fourth Proportional to 12,582.56, 17,347.92 and 7,865.12

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Solution

The fourth proportional to 12,582.56, 17,347.92 and 7,865.12 is: 10,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.56 : 17,347.92 = 7,865.12 : x
  2. Step 2: Convert to fraction form
    12,582.56/17,347.92 = 7,865.12/x
  3. Step 3: Cross multiply
    12,582.56x = 17,347.92 × 7,865.12
  4. Step 4: Simplify right side
    12,582.56x = 136,443,472.55
  5. Step 5: Solve for x
    x = 136,443,472.55/12,582.56
  6. Step 6: Final answer
    x = 10,843.86

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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.