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Finding the Fourth Proportional to 11,002.92, 16,514.86 and 6,830.30

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Solution

The fourth proportional to 11,002.92, 16,514.86 and 6,830.30 is: 10,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.92 : 16,514.86 = 6,830.30 : x
  2. Step 2: Convert to fraction form
    11,002.92/16,514.86 = 6,830.30/x
  3. Step 3: Cross multiply
    11,002.92x = 16,514.86 × 6,830.30
  4. Step 4: Simplify right side
    11,002.92x = 112,801,448.26
  5. Step 5: Solve for x
    x = 112,801,448.26/11,002.92
  6. Step 6: Final answer
    x = 10,251.96

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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.