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Finding the Fourth Proportional to 8,842.78, 13,250.82 and 8,009.26

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Solution

The fourth proportional to 8,842.78, 13,250.82 and 8,009.26 is: 12,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.78 : 13,250.82 = 8,009.26 : x
  2. Step 2: Convert to fraction form
    8,842.78/13,250.82 = 8,009.26/x
  3. Step 3: Cross multiply
    8,842.78x = 13,250.82 × 8,009.26
  4. Step 4: Simplify right side
    8,842.78x = 106,129,262.59
  5. Step 5: Solve for x
    x = 106,129,262.59/8,842.78
  6. Step 6: Final answer
    x = 12,001.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.