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Finding the Fourth Proportional to 12,780.88, 17,638.08 and 7,115.92

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Solution

The fourth proportional to 12,780.88, 17,638.08 and 7,115.92 is: 9,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.88 : 17,638.08 = 7,115.92 : x
  2. Step 2: Convert to fraction form
    12,780.88/17,638.08 = 7,115.92/x
  3. Step 3: Cross multiply
    12,780.88x = 17,638.08 × 7,115.92
  4. Step 4: Simplify right side
    12,780.88x = 125,511,166.23
  5. Step 5: Solve for x
    x = 125,511,166.23/12,780.88
  6. Step 6: Final answer
    x = 9,820.23

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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.