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Finding the Fourth Proportional to 10,278, 15,419.56 and 2,982

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Solution

The fourth proportional to 10,278, 15,419.56 and 2,982 is: 4,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278 : 15,419.56 = 2,982 : x
  2. Step 2: Convert to fraction form
    10,278/15,419.56 = 2,982/x
  3. Step 3: Cross multiply
    10,278x = 15,419.56 × 2,982
  4. Step 4: Simplify right side
    10,278x = 45,981,127.92
  5. Step 5: Solve for x
    x = 45,981,127.92/10,278
  6. Step 6: Final answer
    x = 4,473.74

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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.