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Finding the Fourth Proportional to 8,282.64, 12,428.52 and 5,510.52

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Solution

The fourth proportional to 8,282.64, 12,428.52 and 5,510.52 is: 8,268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.64 : 12,428.52 = 5,510.52 : x
  2. Step 2: Convert to fraction form
    8,282.64/12,428.52 = 5,510.52/x
  3. Step 3: Cross multiply
    8,282.64x = 12,428.52 × 5,510.52
  4. Step 4: Simplify right side
    8,282.64x = 68,487,608.03
  5. Step 5: Solve for x
    x = 68,487,608.03/8,282.64
  6. Step 6: Final answer
    x = 8,268.81

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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.