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Finding the Fourth Proportional to 8,827.68, 12,182.36 and 4,849.20

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Solution

The fourth proportional to 8,827.68, 12,182.36 and 4,849.20 is: 6,691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.68 : 12,182.36 = 4,849.20 : x
  2. Step 2: Convert to fraction form
    8,827.68/12,182.36 = 4,849.20/x
  3. Step 3: Cross multiply
    8,827.68x = 12,182.36 × 4,849.20
  4. Step 4: Simplify right side
    8,827.68x = 59,074,700.11
  5. Step 5: Solve for x
    x = 59,074,700.11/8,827.68
  6. Step 6: Final answer
    x = 6,691.98

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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.