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Finding the Fourth Proportional to 7,777.59, 10,729.17 and 4,940.34

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Solution

The fourth proportional to 7,777.59, 10,729.17 and 4,940.34 is: 6,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.59 : 10,729.17 = 4,940.34 : x
  2. Step 2: Convert to fraction form
    7,777.59/10,729.17 = 4,940.34/x
  3. Step 3: Cross multiply
    7,777.59x = 10,729.17 × 4,940.34
  4. Step 4: Simplify right side
    7,777.59x = 53,005,747.72
  5. Step 5: Solve for x
    x = 53,005,747.72/7,777.59
  6. Step 6: Final answer
    x = 6,815.19

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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.