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Finding the Fourth Proportional to 10,212.44, 15,291.92 and 6,691.37

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Solution

The fourth proportional to 10,212.44, 15,291.92 and 6,691.37 is: 10,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.44 : 15,291.92 = 6,691.37 : x
  2. Step 2: Convert to fraction form
    10,212.44/15,291.92 = 6,691.37/x
  3. Step 3: Cross multiply
    10,212.44x = 15,291.92 × 6,691.37
  4. Step 4: Simplify right side
    10,212.44x = 102,323,835.00
  5. Step 5: Solve for x
    x = 102,323,835.00/10,212.44
  6. Step 6: Final answer
    x = 10,019.53

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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.