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Finding the Fourth Proportional to 8,186.81, 12,280.30 and 6,553.74

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Solution

The fourth proportional to 8,186.81, 12,280.30 and 6,553.74 is: 9,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.81 : 12,280.30 = 6,553.74 : x
  2. Step 2: Convert to fraction form
    8,186.81/12,280.30 = 6,553.74/x
  3. Step 3: Cross multiply
    8,186.81x = 12,280.30 × 6,553.74
  4. Step 4: Simplify right side
    8,186.81x = 80,481,909.71
  5. Step 5: Solve for x
    x = 80,481,909.71/8,186.81
  6. Step 6: Final answer
    x = 9,830.68

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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.