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Finding the Fourth Proportional to 8,584.64, 12,868.74 and 2,737.46

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Solution

The fourth proportional to 8,584.64, 12,868.74 and 2,737.46 is: 4,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.64 : 12,868.74 = 2,737.46 : x
  2. Step 2: Convert to fraction form
    8,584.64/12,868.74 = 2,737.46/x
  3. Step 3: Cross multiply
    8,584.64x = 12,868.74 × 2,737.46
  4. Step 4: Simplify right side
    8,584.64x = 35,227,661.00
  5. Step 5: Solve for x
    x = 35,227,661.00/8,584.64
  6. Step 6: Final answer
    x = 4,103.57

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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.