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Finding the Fourth Proportional to 7,438.58, 10,264.94 and 4,452.66

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Solution

The fourth proportional to 7,438.58, 10,264.94 and 4,452.66 is: 6,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.58 : 10,264.94 = 4,452.66 : x
  2. Step 2: Convert to fraction form
    7,438.58/10,264.94 = 4,452.66/x
  3. Step 3: Cross multiply
    7,438.58x = 10,264.94 × 4,452.66
  4. Step 4: Simplify right side
    7,438.58x = 45,706,287.74
  5. Step 5: Solve for x
    x = 45,706,287.74/7,438.58
  6. Step 6: Final answer
    x = 6,144.49

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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.