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Finding the Fourth Proportional to 7,778.61, 10,722.25 and 6,517.44

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Solution

The fourth proportional to 7,778.61, 10,722.25 and 6,517.44 is: 8,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.61 : 10,722.25 = 6,517.44 : x
  2. Step 2: Convert to fraction form
    7,778.61/10,722.25 = 6,517.44/x
  3. Step 3: Cross multiply
    7,778.61x = 10,722.25 × 6,517.44
  4. Step 4: Simplify right side
    7,778.61x = 69,881,621.04
  5. Step 5: Solve for x
    x = 69,881,621.04/7,778.61
  6. Step 6: Final answer
    x = 8,983.82

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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.