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Finding the Fourth Proportional to 8,180.59, 12,265.85 and 3,497.98

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Solution

The fourth proportional to 8,180.59, 12,265.85 and 3,497.98 is: 5,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.59 : 12,265.85 = 3,497.98 : x
  2. Step 2: Convert to fraction form
    8,180.59/12,265.85 = 3,497.98/x
  3. Step 3: Cross multiply
    8,180.59x = 12,265.85 × 3,497.98
  4. Step 4: Simplify right side
    8,180.59x = 42,905,697.98
  5. Step 5: Solve for x
    x = 42,905,697.98/8,180.59
  6. Step 6: Final answer
    x = 5,244.82

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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.