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Finding the Fourth Proportional to 10,202.64, 15,269.01 and 7,086.16

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Solution

The fourth proportional to 10,202.64, 15,269.01 and 7,086.16 is: 10,604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.64 : 15,269.01 = 7,086.16 : x
  2. Step 2: Convert to fraction form
    10,202.64/15,269.01 = 7,086.16/x
  3. Step 3: Cross multiply
    10,202.64x = 15,269.01 × 7,086.16
  4. Step 4: Simplify right side
    10,202.64x = 108,198,647.90
  5. Step 5: Solve for x
    x = 108,198,647.90/10,202.64
  6. Step 6: Final answer
    x = 10,604.97

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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.