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Finding the Fourth Proportional to 10,301.65, 15,452.43 and 4,377.62

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Solution

The fourth proportional to 10,301.65, 15,452.43 and 4,377.62 is: 6,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.65 : 15,452.43 = 4,377.62 : x
  2. Step 2: Convert to fraction form
    10,301.65/15,452.43 = 4,377.62/x
  3. Step 3: Cross multiply
    10,301.65x = 15,452.43 × 4,377.62
  4. Step 4: Simplify right side
    10,301.65x = 67,644,888.83
  5. Step 5: Solve for x
    x = 67,644,888.83/10,301.65
  6. Step 6: Final answer
    x = 6,566.41

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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.