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Finding the Fourth Proportional to 7,731.76, 10,669.78 and 4,194.96

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Solution

The fourth proportional to 7,731.76, 10,669.78 and 4,194.96 is: 5,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.76 : 10,669.78 = 4,194.96 : x
  2. Step 2: Convert to fraction form
    7,731.76/10,669.78 = 4,194.96/x
  3. Step 3: Cross multiply
    7,731.76x = 10,669.78 × 4,194.96
  4. Step 4: Simplify right side
    7,731.76x = 44,759,300.31
  5. Step 5: Solve for x
    x = 44,759,300.31/7,731.76
  6. Step 6: Final answer
    x = 5,789.02

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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.