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Finding the Fourth Proportional to 10,166.23, 15,225.03 and 6,456.85

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Solution

The fourth proportional to 10,166.23, 15,225.03 and 6,456.85 is: 9,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.23 : 15,225.03 = 6,456.85 : x
  2. Step 2: Convert to fraction form
    10,166.23/15,225.03 = 6,456.85/x
  3. Step 3: Cross multiply
    10,166.23x = 15,225.03 × 6,456.85
  4. Step 4: Simplify right side
    10,166.23x = 98,305,734.96
  5. Step 5: Solve for x
    x = 98,305,734.96/10,166.23
  6. Step 6: Final answer
    x = 9,669.83

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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.