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Finding the Fourth Proportional to 7,949.69, 11,925.84 and 2,684.20

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Solution

The fourth proportional to 7,949.69, 11,925.84 and 2,684.20 is: 4,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.69 : 11,925.84 = 2,684.20 : x
  2. Step 2: Convert to fraction form
    7,949.69/11,925.84 = 2,684.20/x
  3. Step 3: Cross multiply
    7,949.69x = 11,925.84 × 2,684.20
  4. Step 4: Simplify right side
    7,949.69x = 32,011,339.73
  5. Step 5: Solve for x
    x = 32,011,339.73/7,949.69
  6. Step 6: Final answer
    x = 4,026.74

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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.