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Finding the Fourth Proportional to 10,241.94, 15,344.01 and 5,306.34

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Solution

The fourth proportional to 10,241.94, 15,344.01 and 5,306.34 is: 7,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.94 : 15,344.01 = 5,306.34 : x
  2. Step 2: Convert to fraction form
    10,241.94/15,344.01 = 5,306.34/x
  3. Step 3: Cross multiply
    10,241.94x = 15,344.01 × 5,306.34
  4. Step 4: Simplify right side
    10,241.94x = 81,420,534.02
  5. Step 5: Solve for x
    x = 81,420,534.02/10,241.94
  6. Step 6: Final answer
    x = 7,949.72

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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.