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Finding the Fourth Proportional to 8,504.94, 12,757.98 and 2,264.88

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Solution

The fourth proportional to 8,504.94, 12,757.98 and 2,264.88 is: 3,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.94 : 12,757.98 = 2,264.88 : x
  2. Step 2: Convert to fraction form
    8,504.94/12,757.98 = 2,264.88/x
  3. Step 3: Cross multiply
    8,504.94x = 12,757.98 × 2,264.88
  4. Step 4: Simplify right side
    8,504.94x = 28,895,293.74
  5. Step 5: Solve for x
    x = 28,895,293.74/8,504.94
  6. Step 6: Final answer
    x = 3,397.47

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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.