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Finding the Fourth Proportional to 8,542.97, 11,792.03 and 5,005.50

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Solution

The fourth proportional to 8,542.97, 11,792.03 and 5,005.50 is: 6,909.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.97 : 11,792.03 = 5,005.50 : x
  2. Step 2: Convert to fraction form
    8,542.97/11,792.03 = 5,005.50/x
  3. Step 3: Cross multiply
    8,542.97x = 11,792.03 × 5,005.50
  4. Step 4: Simplify right side
    8,542.97x = 59,024,965.07
  5. Step 5: Solve for x
    x = 59,024,965.07/8,542.97
  6. Step 6: Final answer
    x = 6,909.19

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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.