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Finding the Fourth Proportional to 8,440.98, 12,660.51 and 2,284.50

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Solution

The fourth proportional to 8,440.98, 12,660.51 and 2,284.50 is: 3,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.98 : 12,660.51 = 2,284.50 : x
  2. Step 2: Convert to fraction form
    8,440.98/12,660.51 = 2,284.50/x
  3. Step 3: Cross multiply
    8,440.98x = 12,660.51 × 2,284.50
  4. Step 4: Simplify right side
    8,440.98x = 28,922,935.10
  5. Step 5: Solve for x
    x = 28,922,935.10/8,440.98
  6. Step 6: Final answer
    x = 3,426.49

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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.