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Finding the Fourth Proportional to 8,842.88, 12,196.92 and 7,507.39

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Solution

The fourth proportional to 8,842.88, 12,196.92 and 7,507.39 is: 10,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.88 : 12,196.92 = 7,507.39 : x
  2. Step 2: Convert to fraction form
    8,842.88/12,196.92 = 7,507.39/x
  3. Step 3: Cross multiply
    8,842.88x = 12,196.92 × 7,507.39
  4. Step 4: Simplify right side
    8,842.88x = 91,567,032.90
  5. Step 5: Solve for x
    x = 91,567,032.90/8,842.88
  6. Step 6: Final answer
    x = 10,354.89

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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.