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Finding the Fourth Proportional to 10,241.35, 14,133.09 and 5,765.17

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Solution

The fourth proportional to 10,241.35, 14,133.09 and 5,765.17 is: 7,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.35 : 14,133.09 = 5,765.17 : x
  2. Step 2: Convert to fraction form
    10,241.35/14,133.09 = 5,765.17/x
  3. Step 3: Cross multiply
    10,241.35x = 14,133.09 × 5,765.17
  4. Step 4: Simplify right side
    10,241.35x = 81,479,666.48
  5. Step 5: Solve for x
    x = 81,479,666.48/10,241.35
  6. Step 6: Final answer
    x = 7,955.95

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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.