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Finding the Fourth Proportional to 8,503.68, 12,756.50 and 4,117.97

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Solution

The fourth proportional to 8,503.68, 12,756.50 and 4,117.97 is: 6,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.68 : 12,756.50 = 4,117.97 : x
  2. Step 2: Convert to fraction form
    8,503.68/12,756.50 = 4,117.97/x
  3. Step 3: Cross multiply
    8,503.68x = 12,756.50 × 4,117.97
  4. Step 4: Simplify right side
    8,503.68x = 52,530,799.93
  5. Step 5: Solve for x
    x = 52,530,799.93/8,503.68
  6. Step 6: Final answer
    x = 6,177.42

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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.