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Finding the Fourth Proportional to 8,440.94, 12,657.76 and 2,894.82

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Solution

The fourth proportional to 8,440.94, 12,657.76 and 2,894.82 is: 4,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.94 : 12,657.76 = 2,894.82 : x
  2. Step 2: Convert to fraction form
    8,440.94/12,657.76 = 2,894.82/x
  3. Step 3: Cross multiply
    8,440.94x = 12,657.76 × 2,894.82
  4. Step 4: Simplify right side
    8,440.94x = 36,641,936.80
  5. Step 5: Solve for x
    x = 36,641,936.80/8,440.94
  6. Step 6: Final answer
    x = 4,340.98

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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.