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Finding the Fourth Proportional to 7,781.96, 10,733.15 and 4,949.79

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Solution

The fourth proportional to 7,781.96, 10,733.15 and 4,949.79 is: 6,826.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.96 : 10,733.15 = 4,949.79 : x
  2. Step 2: Convert to fraction form
    7,781.96/10,733.15 = 4,949.79/x
  3. Step 3: Cross multiply
    7,781.96x = 10,733.15 × 4,949.79
  4. Step 4: Simplify right side
    7,781.96x = 53,126,813.79
  5. Step 5: Solve for x
    x = 53,126,813.79/7,781.96
  6. Step 6: Final answer
    x = 6,826.92

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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.