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Finding the Fourth Proportional to 8,842.01, 12,202.02 and 4,863.38

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Solution

The fourth proportional to 8,842.01, 12,202.02 and 4,863.38 is: 6,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.01 : 12,202.02 = 4,863.38 : x
  2. Step 2: Convert to fraction form
    8,842.01/12,202.02 = 4,863.38/x
  3. Step 3: Cross multiply
    8,842.01x = 12,202.02 × 4,863.38
  4. Step 4: Simplify right side
    8,842.01x = 59,343,035.71
  5. Step 5: Solve for x
    x = 59,343,035.71/8,842.01
  6. Step 6: Final answer
    x = 6,711.49

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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.