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Finding the Fourth Proportional to 7,640.71, 11,461.62 and 4,872.80

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Solution

The fourth proportional to 7,640.71, 11,461.62 and 4,872.80 is: 7,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.71 : 11,461.62 = 4,872.80 : x
  2. Step 2: Convert to fraction form
    7,640.71/11,461.62 = 4,872.80/x
  3. Step 3: Cross multiply
    7,640.71x = 11,461.62 × 4,872.80
  4. Step 4: Simplify right side
    7,640.71x = 55,850,181.94
  5. Step 5: Solve for x
    x = 55,850,181.94/7,640.71
  6. Step 6: Final answer
    x = 7,309.55

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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.