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Finding the Fourth Proportional to 10,241.71, 14,133.83 and 5,765.62

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Solution

The fourth proportional to 10,241.71, 14,133.83 and 5,765.62 is: 7,956.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.71 : 14,133.83 = 5,765.62 : x
  2. Step 2: Convert to fraction form
    10,241.71/14,133.83 = 5,765.62/x
  3. Step 3: Cross multiply
    10,241.71x = 14,133.83 × 5,765.62
  4. Step 4: Simplify right side
    10,241.71x = 81,490,292.92
  5. Step 5: Solve for x
    x = 81,490,292.92/10,241.71
  6. Step 6: Final answer
    x = 7,956.71

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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.