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Finding the Fourth Proportional to 8,704.25, 13,056.88 and 2,463.74

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Solution

The fourth proportional to 8,704.25, 13,056.88 and 2,463.74 is: 3,695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.25 : 13,056.88 = 2,463.74 : x
  2. Step 2: Convert to fraction form
    8,704.25/13,056.88 = 2,463.74/x
  3. Step 3: Cross multiply
    8,704.25x = 13,056.88 × 2,463.74
  4. Step 4: Simplify right side
    8,704.25x = 32,168,757.53
  5. Step 5: Solve for x
    x = 32,168,757.53/8,704.25
  6. Step 6: Final answer
    x = 3,695.75

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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.