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Finding the Fourth Proportional to 8,842.98, 12,201.10 and 5,695.38

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Solution

The fourth proportional to 8,842.98, 12,201.10 and 5,695.38 is: 7,858.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.98 : 12,201.10 = 5,695.38 : x
  2. Step 2: Convert to fraction form
    8,842.98/12,201.10 = 5,695.38/x
  3. Step 3: Cross multiply
    8,842.98x = 12,201.10 × 5,695.38
  4. Step 4: Simplify right side
    8,842.98x = 69,489,900.92
  5. Step 5: Solve for x
    x = 69,489,900.92/8,842.98
  6. Step 6: Final answer
    x = 7,858.20

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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.