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Finding the Fourth Proportional to 8,265.42, 11,410.11 and 5,436.90

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Solution

The fourth proportional to 8,265.42, 11,410.11 and 5,436.90 is: 7,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.42 : 11,410.11 = 5,436.90 : x
  2. Step 2: Convert to fraction form
    8,265.42/11,410.11 = 5,436.90/x
  3. Step 3: Cross multiply
    8,265.42x = 11,410.11 × 5,436.90
  4. Step 4: Simplify right side
    8,265.42x = 62,035,627.06
  5. Step 5: Solve for x
    x = 62,035,627.06/8,265.42
  6. Step 6: Final answer
    x = 7,505.44

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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.