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Finding the Fourth Proportional to 10,269.92, 15,416.76 and 8,215.04

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Solution

The fourth proportional to 10,269.92, 15,416.76 and 8,215.04 is: 12,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.92 : 15,416.76 = 8,215.04 : x
  2. Step 2: Convert to fraction form
    10,269.92/15,416.76 = 8,215.04/x
  3. Step 3: Cross multiply
    10,269.92x = 15,416.76 × 8,215.04
  4. Step 4: Simplify right side
    10,269.92x = 126,649,300.07
  5. Step 5: Solve for x
    x = 126,649,300.07/10,269.92
  6. Step 6: Final answer
    x = 12,332.06

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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.