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Finding the Fourth Proportional to 8,642.03, 12,964.86 and 2,798.19

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Solution

The fourth proportional to 8,642.03, 12,964.86 and 2,798.19 is: 4,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.03 : 12,964.86 = 2,798.19 : x
  2. Step 2: Convert to fraction form
    8,642.03/12,964.86 = 2,798.19/x
  3. Step 3: Cross multiply
    8,642.03x = 12,964.86 × 2,798.19
  4. Step 4: Simplify right side
    8,642.03x = 36,278,141.60
  5. Step 5: Solve for x
    x = 36,278,141.60/8,642.03
  6. Step 6: Final answer
    x = 4,197.88

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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.