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Finding the Fourth Proportional to 10,278.66, 15,412.17 and 3,257.34

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Solution

The fourth proportional to 10,278.66, 15,412.17 and 3,257.34 is: 4,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.66 : 15,412.17 = 3,257.34 : x
  2. Step 2: Convert to fraction form
    10,278.66/15,412.17 = 3,257.34/x
  3. Step 3: Cross multiply
    10,278.66x = 15,412.17 × 3,257.34
  4. Step 4: Simplify right side
    10,278.66x = 50,202,677.83
  5. Step 5: Solve for x
    x = 50,202,677.83/10,278.66
  6. Step 6: Final answer
    x = 4,884.17

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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.