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Finding the Fourth Proportional to 10,067.60, 13,881.48 and 7,083.92

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Solution

The fourth proportional to 10,067.60, 13,881.48 and 7,083.92 is: 9,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.60 : 13,881.48 = 7,083.92 : x
  2. Step 2: Convert to fraction form
    10,067.60/13,881.48 = 7,083.92/x
  3. Step 3: Cross multiply
    10,067.60x = 13,881.48 × 7,083.92
  4. Step 4: Simplify right side
    10,067.60x = 98,335,293.80
  5. Step 5: Solve for x
    x = 98,335,293.80/10,067.60
  6. Step 6: Final answer
    x = 9,767.50

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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.