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Finding the Fourth Proportional to 7,576.80, 10,459.76 and 5,871.48

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Solution

The fourth proportional to 7,576.80, 10,459.76 and 5,871.48 is: 8,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.80 : 10,459.76 = 5,871.48 : x
  2. Step 2: Convert to fraction form
    7,576.80/10,459.76 = 5,871.48/x
  3. Step 3: Cross multiply
    7,576.80x = 10,459.76 × 5,871.48
  4. Step 4: Simplify right side
    7,576.80x = 61,414,242.29
  5. Step 5: Solve for x
    x = 61,414,242.29/7,576.80
  6. Step 6: Final answer
    x = 8,105.56

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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.