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Finding the Fourth Proportional to 7,741.31, 11,604.02 and 3,059.42

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Solution

The fourth proportional to 7,741.31, 11,604.02 and 3,059.42 is: 4,585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.31 : 11,604.02 = 3,059.42 : x
  2. Step 2: Convert to fraction form
    7,741.31/11,604.02 = 3,059.42/x
  3. Step 3: Cross multiply
    7,741.31x = 11,604.02 × 3,059.42
  4. Step 4: Simplify right side
    7,741.31x = 35,501,497.55
  5. Step 5: Solve for x
    x = 35,501,497.55/7,741.31
  6. Step 6: Final answer
    x = 4,585.98

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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.