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Finding the Fourth Proportional to 8,428.32, 12,642.74 and 2,880.69

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Solution

The fourth proportional to 8,428.32, 12,642.74 and 2,880.69 is: 4,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.32 : 12,642.74 = 2,880.69 : x
  2. Step 2: Convert to fraction form
    8,428.32/12,642.74 = 2,880.69/x
  3. Step 3: Cross multiply
    8,428.32x = 12,642.74 × 2,880.69
  4. Step 4: Simplify right side
    8,428.32x = 36,419,801.26
  5. Step 5: Solve for x
    x = 36,419,801.26/8,428.32
  6. Step 6: Final answer
    x = 4,321.12

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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.