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Finding the Fourth Proportional to 10,205.35, 15,314.16 and 4,361.96

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Solution

The fourth proportional to 10,205.35, 15,314.16 and 4,361.96 is: 6,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.35 : 15,314.16 = 4,361.96 : x
  2. Step 2: Convert to fraction form
    10,205.35/15,314.16 = 4,361.96/x
  3. Step 3: Cross multiply
    10,205.35x = 15,314.16 × 4,361.96
  4. Step 4: Simplify right side
    10,205.35x = 66,799,754.75
  5. Step 5: Solve for x
    x = 66,799,754.75/10,205.35
  6. Step 6: Final answer
    x = 6,545.56

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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.