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Finding the Fourth Proportional to 10,705.29, 16,034.17 and 8,221.83

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Solution

The fourth proportional to 10,705.29, 16,034.17 and 8,221.83 is: 12,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.29 : 16,034.17 = 8,221.83 : x
  2. Step 2: Convert to fraction form
    10,705.29/16,034.17 = 8,221.83/x
  3. Step 3: Cross multiply
    10,705.29x = 16,034.17 × 8,221.83
  4. Step 4: Simplify right side
    10,705.29x = 131,830,219.93
  5. Step 5: Solve for x
    x = 131,830,219.93/10,705.29
  6. Step 6: Final answer
    x = 12,314.49

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Why These Related Problems?

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