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Finding the Fourth Proportional to 10,451.34, 14,422.14 and 5,734.71

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Solution

The fourth proportional to 10,451.34, 14,422.14 and 5,734.71 is: 7,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.34 : 14,422.14 = 5,734.71 : x
  2. Step 2: Convert to fraction form
    10,451.34/14,422.14 = 5,734.71/x
  3. Step 3: Cross multiply
    10,451.34x = 14,422.14 × 5,734.71
  4. Step 4: Simplify right side
    10,451.34x = 82,706,790.48
  5. Step 5: Solve for x
    x = 82,706,790.48/10,451.34
  6. Step 6: Final answer
    x = 7,913.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.