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Finding the Fourth Proportional to 8,454.10, 12,678.04 and 2,905.87

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Solution

The fourth proportional to 8,454.10, 12,678.04 and 2,905.87 is: 4,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.10 : 12,678.04 = 2,905.87 : x
  2. Step 2: Convert to fraction form
    8,454.10/12,678.04 = 2,905.87/x
  3. Step 3: Cross multiply
    8,454.10x = 12,678.04 × 2,905.87
  4. Step 4: Simplify right side
    8,454.10x = 36,840,736.09
  5. Step 5: Solve for x
    x = 36,840,736.09/8,454.10
  6. Step 6: Final answer
    x = 4,357.74

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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.