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Finding the Fourth Proportional to 8,766.16, 13,148.43 and 3,499.78

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Solution

The fourth proportional to 8,766.16, 13,148.43 and 3,499.78 is: 5,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766.16 : 13,148.43 = 3,499.78 : x
  2. Step 2: Convert to fraction form
    8,766.16/13,148.43 = 3,499.78/x
  3. Step 3: Cross multiply
    8,766.16x = 13,148.43 × 3,499.78
  4. Step 4: Simplify right side
    8,766.16x = 46,016,612.35
  5. Step 5: Solve for x
    x = 46,016,612.35/8,766.16
  6. Step 6: Final answer
    x = 5,249.35

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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.