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Finding the Fourth Proportional to 10,340.64, 15,511.08 and 2,549.43

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Solution

The fourth proportional to 10,340.64, 15,511.08 and 2,549.43 is: 3,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.64 : 15,511.08 = 2,549.43 : x
  2. Step 2: Convert to fraction form
    10,340.64/15,511.08 = 2,549.43/x
  3. Step 3: Cross multiply
    10,340.64x = 15,511.08 × 2,549.43
  4. Step 4: Simplify right side
    10,340.64x = 39,544,412.68
  5. Step 5: Solve for x
    x = 39,544,412.68/10,340.64
  6. Step 6: Final answer
    x = 3,824.17

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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.