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Finding the Fourth Proportional to 10,452.80, 15,679.01 and 4,212.65

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Solution

The fourth proportional to 10,452.80, 15,679.01 and 4,212.65 is: 6,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.80 : 15,679.01 = 4,212.65 : x
  2. Step 2: Convert to fraction form
    10,452.80/15,679.01 = 4,212.65/x
  3. Step 3: Cross multiply
    10,452.80x = 15,679.01 × 4,212.65
  4. Step 4: Simplify right side
    10,452.80x = 66,050,082.02
  5. Step 5: Solve for x
    x = 66,050,082.02/10,452.80
  6. Step 6: Final answer
    x = 6,318.89

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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.