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Finding the Fourth Proportional to 8,454.81, 12,684.29 and 2,908.24

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Solution

The fourth proportional to 8,454.81, 12,684.29 and 2,908.24 is: 4,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.81 : 12,684.29 = 2,908.24 : x
  2. Step 2: Convert to fraction form
    8,454.81/12,684.29 = 2,908.24/x
  3. Step 3: Cross multiply
    8,454.81x = 12,684.29 × 2,908.24
  4. Step 4: Simplify right side
    8,454.81x = 36,888,959.55
  5. Step 5: Solve for x
    x = 36,888,959.55/8,454.81
  6. Step 6: Final answer
    x = 4,363.07

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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.