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Finding the Fourth Proportional to 10,241.36, 14,132 and 5,765.04

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Solution

The fourth proportional to 10,241.36, 14,132 and 5,765.04 is: 7,955.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.36 : 14,132 = 5,765.04 : x
  2. Step 2: Convert to fraction form
    10,241.36/14,132 = 5,765.04/x
  3. Step 3: Cross multiply
    10,241.36x = 14,132 × 5,765.04
  4. Step 4: Simplify right side
    10,241.36x = 81,471,545.28
  5. Step 5: Solve for x
    x = 81,471,545.28/10,241.36
  6. Step 6: Final answer
    x = 7,955.15

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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.