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Finding the Fourth Proportional to 8,154.84, 12,229.19 and 2,606.70

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Solution

The fourth proportional to 8,154.84, 12,229.19 and 2,606.70 is: 3,909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.84 : 12,229.19 = 2,606.70 : x
  2. Step 2: Convert to fraction form
    8,154.84/12,229.19 = 2,606.70/x
  3. Step 3: Cross multiply
    8,154.84x = 12,229.19 × 2,606.70
  4. Step 4: Simplify right side
    8,154.84x = 31,877,816.54
  5. Step 5: Solve for x
    x = 31,877,816.54/8,154.84
  6. Step 6: Final answer
    x = 3,909.07

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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.