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Finding the Fourth Proportional to 8,428.24, 12,642.98 and 2,584.08

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Solution

The fourth proportional to 8,428.24, 12,642.98 and 2,584.08 is: 3,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.24 : 12,642.98 = 2,584.08 : x
  2. Step 2: Convert to fraction form
    8,428.24/12,642.98 = 2,584.08/x
  3. Step 3: Cross multiply
    8,428.24x = 12,642.98 × 2,584.08
  4. Step 4: Simplify right side
    8,428.24x = 32,670,471.76
  5. Step 5: Solve for x
    x = 32,670,471.76/8,428.24
  6. Step 6: Final answer
    x = 3,876.31

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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.