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Finding the Fourth Proportional to 8,223.81, 12,335.86 and 2,677.13

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Solution

The fourth proportional to 8,223.81, 12,335.86 and 2,677.13 is: 4,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.81 : 12,335.86 = 2,677.13 : x
  2. Step 2: Convert to fraction form
    8,223.81/12,335.86 = 2,677.13/x
  3. Step 3: Cross multiply
    8,223.81x = 12,335.86 × 2,677.13
  4. Step 4: Simplify right side
    8,223.81x = 33,024,700.88
  5. Step 5: Solve for x
    x = 33,024,700.88/8,223.81
  6. Step 6: Final answer
    x = 4,015.74

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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.