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Finding the Fourth Proportional to 6,778.80, 10,143.50 and 5,597.82

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Solution

The fourth proportional to 6,778.80, 10,143.50 and 5,597.82 is: 8,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.80 : 10,143.50 = 5,597.82 : x
  2. Step 2: Convert to fraction form
    6,778.80/10,143.50 = 5,597.82/x
  3. Step 3: Cross multiply
    6,778.80x = 10,143.50 × 5,597.82
  4. Step 4: Simplify right side
    6,778.80x = 56,781,459.18
  5. Step 5: Solve for x
    x = 56,781,459.18/6,778.80
  6. Step 6: Final answer
    x = 8,376.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.