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Finding the Fourth Proportional to 10,241.34, 14,132.97 and 5,765.15

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Solution

The fourth proportional to 10,241.34, 14,132.97 and 5,765.15 is: 7,955.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.34 : 14,132.97 = 5,765.15 : x
  2. Step 2: Convert to fraction form
    10,241.34/14,132.97 = 5,765.15/x
  3. Step 3: Cross multiply
    10,241.34x = 14,132.97 × 5,765.15
  4. Step 4: Simplify right side
    10,241.34x = 81,478,621.33
  5. Step 5: Solve for x
    x = 81,478,621.33/10,241.34
  6. Step 6: Final answer
    x = 7,955.86

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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.