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Finding the Fourth Proportional to 10,917.38, 15,064.17 and 6,199.94

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Solution

The fourth proportional to 10,917.38, 15,064.17 and 6,199.94 is: 8,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.38 : 15,064.17 = 6,199.94 : x
  2. Step 2: Convert to fraction form
    10,917.38/15,064.17 = 6,199.94/x
  3. Step 3: Cross multiply
    10,917.38x = 15,064.17 × 6,199.94
  4. Step 4: Simplify right side
    10,917.38x = 93,396,950.15
  5. Step 5: Solve for x
    x = 93,396,950.15/10,917.38
  6. Step 6: Final answer
    x = 8,554.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.