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Finding the Fourth Proportional to 8,126.66, 12,187.86 and 2,281.90

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Solution

The fourth proportional to 8,126.66, 12,187.86 and 2,281.90 is: 3,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.66 : 12,187.86 = 2,281.90 : x
  2. Step 2: Convert to fraction form
    8,126.66/12,187.86 = 2,281.90/x
  3. Step 3: Cross multiply
    8,126.66x = 12,187.86 × 2,281.90
  4. Step 4: Simplify right side
    8,126.66x = 27,811,438.71
  5. Step 5: Solve for x
    x = 27,811,438.71/8,126.66
  6. Step 6: Final answer
    x = 3,422.25

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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.