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Finding the Fourth Proportional to 10,007.72, 15,016.46 and 6,714.33

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Solution

The fourth proportional to 10,007.72, 15,016.46 and 6,714.33 is: 10,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.72 : 15,016.46 = 6,714.33 : x
  2. Step 2: Convert to fraction form
    10,007.72/15,016.46 = 6,714.33/x
  3. Step 3: Cross multiply
    10,007.72x = 15,016.46 × 6,714.33
  4. Step 4: Simplify right side
    10,007.72x = 100,825,377.99
  5. Step 5: Solve for x
    x = 100,825,377.99/10,007.72
  6. Step 6: Final answer
    x = 10,074.76

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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.