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Finding the Fourth Proportional to 10,899.66, 16,333.86 and 6,209.97

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Solution

The fourth proportional to 10,899.66, 16,333.86 and 6,209.97 is: 9,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899.66 : 16,333.86 = 6,209.97 : x
  2. Step 2: Convert to fraction form
    10,899.66/16,333.86 = 6,209.97/x
  3. Step 3: Cross multiply
    10,899.66x = 16,333.86 × 6,209.97
  4. Step 4: Simplify right side
    10,899.66x = 101,432,780.58
  5. Step 5: Solve for x
    x = 101,432,780.58/10,899.66
  6. Step 6: Final answer
    x = 9,306.05

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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.