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Finding the Fourth Proportional to 10,181.52, 14,049.72 and 5,705.16

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Solution

The fourth proportional to 10,181.52, 14,049.72 and 5,705.16 is: 7,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.52 : 14,049.72 = 5,705.16 : x
  2. Step 2: Convert to fraction form
    10,181.52/14,049.72 = 5,705.16/x
  3. Step 3: Cross multiply
    10,181.52x = 14,049.72 × 5,705.16
  4. Step 4: Simplify right side
    10,181.52x = 80,155,900.56
  5. Step 5: Solve for x
    x = 80,155,900.56/10,181.52
  6. Step 6: Final answer
    x = 7,872.69

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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.