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Finding the Fourth Proportional to 8,468.57, 11,687.04 and 5,111.33

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Solution

The fourth proportional to 8,468.57, 11,687.04 and 5,111.33 is: 7,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.57 : 11,687.04 = 5,111.33 : x
  2. Step 2: Convert to fraction form
    8,468.57/11,687.04 = 5,111.33/x
  3. Step 3: Cross multiply
    8,468.57x = 11,687.04 × 5,111.33
  4. Step 4: Simplify right side
    8,468.57x = 59,736,259.73
  5. Step 5: Solve for x
    x = 59,736,259.73/8,468.57
  6. Step 6: Final answer
    x = 7,053.88

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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.