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Finding the Fourth Proportional to 12,781.44, 17,638.25 and 7,116.10

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Solution

The fourth proportional to 12,781.44, 17,638.25 and 7,116.10 is: 9,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.44 : 17,638.25 = 7,116.10 : x
  2. Step 2: Convert to fraction form
    12,781.44/17,638.25 = 7,116.10/x
  3. Step 3: Cross multiply
    12,781.44x = 17,638.25 × 7,116.10
  4. Step 4: Simplify right side
    12,781.44x = 125,515,550.83
  5. Step 5: Solve for x
    x = 125,515,550.83/12,781.44
  6. Step 6: Final answer
    x = 9,820.14

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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.