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Finding the Fourth Proportional to 7,832.48, 11,751.80 and 3,446.87

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Solution

The fourth proportional to 7,832.48, 11,751.80 and 3,446.87 is: 5,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.48 : 11,751.80 = 3,446.87 : x
  2. Step 2: Convert to fraction form
    7,832.48/11,751.80 = 3,446.87/x
  3. Step 3: Cross multiply
    7,832.48x = 11,751.80 × 3,446.87
  4. Step 4: Simplify right side
    7,832.48x = 40,506,872.42
  5. Step 5: Solve for x
    x = 40,506,872.42/7,832.48
  6. Step 6: Final answer
    x = 5,171.65

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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.