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Finding the Fourth Proportional to 10,876.84, 16,317.42 and 6,199

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Solution

The fourth proportional to 10,876.84, 16,317.42 and 6,199 is: 9,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.84 : 16,317.42 = 6,199 : x
  2. Step 2: Convert to fraction form
    10,876.84/16,317.42 = 6,199/x
  3. Step 3: Cross multiply
    10,876.84x = 16,317.42 × 6,199
  4. Step 4: Simplify right side
    10,876.84x = 101,151,686.58
  5. Step 5: Solve for x
    x = 101,151,686.58/10,876.84
  6. Step 6: Final answer
    x = 9,299.73

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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.