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Finding the Fourth Proportional to 10,454.31, 15,678.16 and 3,433.17

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Solution

The fourth proportional to 10,454.31, 15,678.16 and 3,433.17 is: 5,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.31 : 15,678.16 = 3,433.17 : x
  2. Step 2: Convert to fraction form
    10,454.31/15,678.16 = 3,433.17/x
  3. Step 3: Cross multiply
    10,454.31x = 15,678.16 × 3,433.17
  4. Step 4: Simplify right side
    10,454.31x = 53,825,701.59
  5. Step 5: Solve for x
    x = 53,825,701.59/10,454.31
  6. Step 6: Final answer
    x = 5,148.66

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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.