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Finding the Fourth Proportional to 8,410.54, 12,617.20 and 2,863.32

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Solution

The fourth proportional to 8,410.54, 12,617.20 and 2,863.32 is: 4,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.54 : 12,617.20 = 2,863.32 : x
  2. Step 2: Convert to fraction form
    8,410.54/12,617.20 = 2,863.32/x
  3. Step 3: Cross multiply
    8,410.54x = 12,617.20 × 2,863.32
  4. Step 4: Simplify right side
    8,410.54x = 36,127,081.10
  5. Step 5: Solve for x
    x = 36,127,081.10/8,410.54
  6. Step 6: Final answer
    x = 4,295.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.