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Finding the Fourth Proportional to 12,781.35, 17,637.75 and 7,115.82

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Solution

The fourth proportional to 12,781.35, 17,637.75 and 7,115.82 is: 9,819.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.35 : 17,637.75 = 7,115.82 : x
  2. Step 2: Convert to fraction form
    12,781.35/17,637.75 = 7,115.82/x
  3. Step 3: Cross multiply
    12,781.35x = 17,637.75 × 7,115.82
  4. Step 4: Simplify right side
    12,781.35x = 125,507,054.21
  5. Step 5: Solve for x
    x = 125,507,054.21/12,781.35
  6. Step 6: Final answer
    x = 9,819.55

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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.