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Finding the Fourth Proportional to 8,862, 12,229.68 and 4,883.08

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Solution

The fourth proportional to 8,862, 12,229.68 and 4,883.08 is: 6,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,862 : 12,229.68 = 4,883.08 : x
  2. Step 2: Convert to fraction form
    8,862/12,229.68 = 4,883.08/x
  3. Step 3: Cross multiply
    8,862x = 12,229.68 × 4,883.08
  4. Step 4: Simplify right side
    8,862x = 59,718,505.81
  5. Step 5: Solve for x
    x = 59,718,505.81/8,862
  6. Step 6: Final answer
    x = 6,738.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.