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Finding the Fourth Proportional to 7,549.74, 11,316.45 and 3,648.78

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Solution

The fourth proportional to 7,549.74, 11,316.45 and 3,648.78 is: 5,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.74 : 11,316.45 = 3,648.78 : x
  2. Step 2: Convert to fraction form
    7,549.74/11,316.45 = 3,648.78/x
  3. Step 3: Cross multiply
    7,549.74x = 11,316.45 × 3,648.78
  4. Step 4: Simplify right side
    7,549.74x = 41,291,236.43
  5. Step 5: Solve for x
    x = 41,291,236.43/7,549.74
  6. Step 6: Final answer
    x = 5,469.23

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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.