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Finding the Fourth Proportional to 7,549.62, 11,324.40 and 2,284.62

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Solution

The fourth proportional to 7,549.62, 11,324.40 and 2,284.62 is: 3,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.62 : 11,324.40 = 2,284.62 : x
  2. Step 2: Convert to fraction form
    7,549.62/11,324.40 = 2,284.62/x
  3. Step 3: Cross multiply
    7,549.62x = 11,324.40 × 2,284.62
  4. Step 4: Simplify right side
    7,549.62x = 25,871,950.73
  5. Step 5: Solve for x
    x = 25,871,950.73/7,549.62
  6. Step 6: Final answer
    x = 3,426.92

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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.