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Finding the Fourth Proportional to 10,244.90, 15,371.19 and 5,311.46

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Solution

The fourth proportional to 10,244.90, 15,371.19 and 5,311.46 is: 7,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.90 : 15,371.19 = 5,311.46 : x
  2. Step 2: Convert to fraction form
    10,244.90/15,371.19 = 5,311.46/x
  3. Step 3: Cross multiply
    10,244.90x = 15,371.19 × 5,311.46
  4. Step 4: Simplify right side
    10,244.90x = 81,643,383.98
  5. Step 5: Solve for x
    x = 81,643,383.98/10,244.90
  6. Step 6: Final answer
    x = 7,969.18

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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.