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Finding the Fourth Proportional to 8,451.24, 11,659.14 and 5,657.64

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Solution

The fourth proportional to 8,451.24, 11,659.14 and 5,657.64 is: 7,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.24 : 11,659.14 = 5,657.64 : x
  2. Step 2: Convert to fraction form
    8,451.24/11,659.14 = 5,657.64/x
  3. Step 3: Cross multiply
    8,451.24x = 11,659.14 × 5,657.64
  4. Step 4: Simplify right side
    8,451.24x = 65,963,216.83
  5. Step 5: Solve for x
    x = 65,963,216.83/8,451.24
  6. Step 6: Final answer
    x = 7,805.15

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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.