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Finding the Fourth Proportional to 8,704.42, 13,057.36 and 2,782.15

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Solution

The fourth proportional to 8,704.42, 13,057.36 and 2,782.15 is: 4,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.42 : 13,057.36 = 2,782.15 : x
  2. Step 2: Convert to fraction form
    8,704.42/13,057.36 = 2,782.15/x
  3. Step 3: Cross multiply
    8,704.42x = 13,057.36 × 2,782.15
  4. Step 4: Simplify right side
    8,704.42x = 36,327,454.93
  5. Step 5: Solve for x
    x = 36,327,454.93/8,704.42
  6. Step 6: Final answer
    x = 4,173.45

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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.