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Finding the Fourth Proportional to 10,278.71, 15,419.03 and 2,883.14

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Solution

The fourth proportional to 10,278.71, 15,419.03 and 2,883.14 is: 4,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.71 : 15,419.03 = 2,883.14 : x
  2. Step 2: Convert to fraction form
    10,278.71/15,419.03 = 2,883.14/x
  3. Step 3: Cross multiply
    10,278.71x = 15,419.03 × 2,883.14
  4. Step 4: Simplify right side
    10,278.71x = 44,455,146.86
  5. Step 5: Solve for x
    x = 44,455,146.86/10,278.71
  6. Step 6: Final answer
    x = 4,324.97

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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.