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Finding the Fourth Proportional to 10,514.01, 14,508.85 and 6,034.61

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Solution

The fourth proportional to 10,514.01, 14,508.85 and 6,034.61 is: 8,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.01 : 14,508.85 = 6,034.61 : x
  2. Step 2: Convert to fraction form
    10,514.01/14,508.85 = 6,034.61/x
  3. Step 3: Cross multiply
    10,514.01x = 14,508.85 × 6,034.61
  4. Step 4: Simplify right side
    10,514.01x = 87,555,236.21
  5. Step 5: Solve for x
    x = 87,555,236.21/10,514.01
  6. Step 6: Final answer
    x = 8,327.48

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