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Finding the Fourth Proportional to 7,438.81, 10,264.95 and 4,452.65

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Solution

The fourth proportional to 7,438.81, 10,264.95 and 4,452.65 is: 6,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.81 : 10,264.95 = 4,452.65 : x
  2. Step 2: Convert to fraction form
    7,438.81/10,264.95 = 4,452.65/x
  3. Step 3: Cross multiply
    7,438.81x = 10,264.95 × 4,452.65
  4. Step 4: Simplify right side
    7,438.81x = 45,706,229.62
  5. Step 5: Solve for x
    x = 45,706,229.62/7,438.81
  6. Step 6: Final answer
    x = 6,144.29

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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.