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Finding the Fourth Proportional to 8,295.57, 12,444.57 and 2,451.42

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Solution

The fourth proportional to 8,295.57, 12,444.57 and 2,451.42 is: 3,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.57 : 12,444.57 = 2,451.42 : x
  2. Step 2: Convert to fraction form
    8,295.57/12,444.57 = 2,451.42/x
  3. Step 3: Cross multiply
    8,295.57x = 12,444.57 × 2,451.42
  4. Step 4: Simplify right side
    8,295.57x = 30,506,867.79
  5. Step 5: Solve for x
    x = 30,506,867.79/8,295.57
  6. Step 6: Final answer
    x = 3,677.49

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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.