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Finding the Fourth Proportional to 8,728.80, 13,098 and 4,111.68

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Solution

The fourth proportional to 8,728.80, 13,098 and 4,111.68 is: 6,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728.80 : 13,098 = 4,111.68 : x
  2. Step 2: Convert to fraction form
    8,728.80/13,098 = 4,111.68/x
  3. Step 3: Cross multiply
    8,728.80x = 13,098 × 4,111.68
  4. Step 4: Simplify right side
    8,728.80x = 53,854,784.64
  5. Step 5: Solve for x
    x = 53,854,784.64/8,728.80
  6. Step 6: Final answer
    x = 6,169.78

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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.