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Finding the Fourth Proportional to 8,011.47, 11,032.92 and 7,839.75

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Solution

The fourth proportional to 8,011.47, 11,032.92 and 7,839.75 is: 10,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.47 : 11,032.92 = 7,839.75 : x
  2. Step 2: Convert to fraction form
    8,011.47/11,032.92 = 7,839.75/x
  3. Step 3: Cross multiply
    8,011.47x = 11,032.92 × 7,839.75
  4. Step 4: Simplify right side
    8,011.47x = 86,495,334.57
  5. Step 5: Solve for x
    x = 86,495,334.57/8,011.47
  6. Step 6: Final answer
    x = 10,796.44

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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.