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Finding the Fourth Proportional to 12,275.92, 16,941 and 7,310.80

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Solution

The fourth proportional to 12,275.92, 16,941 and 7,310.80 is: 10,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.92 : 16,941 = 7,310.80 : x
  2. Step 2: Convert to fraction form
    12,275.92/16,941 = 7,310.80/x
  3. Step 3: Cross multiply
    12,275.92x = 16,941 × 7,310.80
  4. Step 4: Simplify right side
    12,275.92x = 123,852,262.80
  5. Step 5: Solve for x
    x = 123,852,262.80/12,275.92
  6. Step 6: Final answer
    x = 10,089.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.