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Finding the Fourth Proportional to 10,514.43, 15,768.90 and 3,116.90

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Solution

The fourth proportional to 10,514.43, 15,768.90 and 3,116.90 is: 4,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.43 : 15,768.90 = 3,116.90 : x
  2. Step 2: Convert to fraction form
    10,514.43/15,768.90 = 3,116.90/x
  3. Step 3: Cross multiply
    10,514.43x = 15,768.90 × 3,116.90
  4. Step 4: Simplify right side
    10,514.43x = 49,150,123.83
  5. Step 5: Solve for x
    x = 49,150,123.83/10,514.43
  6. Step 6: Final answer
    x = 4,674.54

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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.