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Finding the Fourth Proportional to 10,714.06, 16,049.02 and 5,150.98

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Solution

The fourth proportional to 10,714.06, 16,049.02 and 5,150.98 is: 7,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.06 : 16,049.02 = 5,150.98 : x
  2. Step 2: Convert to fraction form
    10,714.06/16,049.02 = 5,150.98/x
  3. Step 3: Cross multiply
    10,714.06x = 16,049.02 × 5,150.98
  4. Step 4: Simplify right side
    10,714.06x = 82,668,181.04
  5. Step 5: Solve for x
    x = 82,668,181.04/10,714.06
  6. Step 6: Final answer
    x = 7,715.86

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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.