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Finding the Fourth Proportional to 8,284.32, 12,428.28 and 2,737.44

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Solution

The fourth proportional to 8,284.32, 12,428.28 and 2,737.44 is: 4,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.32 : 12,428.28 = 2,737.44 : x
  2. Step 2: Convert to fraction form
    8,284.32/12,428.28 = 2,737.44/x
  3. Step 3: Cross multiply
    8,284.32x = 12,428.28 × 2,737.44
  4. Step 4: Simplify right side
    8,284.32x = 34,021,670.80
  5. Step 5: Solve for x
    x = 34,021,670.80/8,284.32
  6. Step 6: Final answer
    x = 4,106.75

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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.