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Finding the Fourth Proportional to 10,514.53, 15,761.16 and 6,819.11

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Solution

The fourth proportional to 10,514.53, 15,761.16 and 6,819.11 is: 10,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.53 : 15,761.16 = 6,819.11 : x
  2. Step 2: Convert to fraction form
    10,514.53/15,761.16 = 6,819.11/x
  3. Step 3: Cross multiply
    10,514.53x = 15,761.16 × 6,819.11
  4. Step 4: Simplify right side
    10,514.53x = 107,477,083.77
  5. Step 5: Solve for x
    x = 107,477,083.77/10,514.53
  6. Step 6: Final answer
    x = 10,221.77

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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.