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Finding the Fourth Proportional to 8,406.92, 12,607.44 and 2,482.24

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Solution

The fourth proportional to 8,406.92, 12,607.44 and 2,482.24 is: 3,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.92 : 12,607.44 = 2,482.24 : x
  2. Step 2: Convert to fraction form
    8,406.92/12,607.44 = 2,482.24/x
  3. Step 3: Cross multiply
    8,406.92x = 12,607.44 × 2,482.24
  4. Step 4: Simplify right side
    8,406.92x = 31,294,691.87
  5. Step 5: Solve for x
    x = 31,294,691.87/8,406.92
  6. Step 6: Final answer
    x = 3,722.49

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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.