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Finding the Fourth Proportional to 7,549.70, 11,324.02 and 2,284.90

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Solution

The fourth proportional to 7,549.70, 11,324.02 and 2,284.90 is: 3,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.70 : 11,324.02 = 2,284.90 : x
  2. Step 2: Convert to fraction form
    7,549.70/11,324.02 = 2,284.90/x
  3. Step 3: Cross multiply
    7,549.70x = 11,324.02 × 2,284.90
  4. Step 4: Simplify right side
    7,549.70x = 25,874,253.30
  5. Step 5: Solve for x
    x = 25,874,253.30/7,549.70
  6. Step 6: Final answer
    x = 3,427.19

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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.