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Finding the Fourth Proportional to 7,265.46, 10,873.49 and 6,096.77

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Solution

The fourth proportional to 7,265.46, 10,873.49 and 6,096.77 is: 9,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.46 : 10,873.49 = 6,096.77 : x
  2. Step 2: Convert to fraction form
    7,265.46/10,873.49 = 6,096.77/x
  3. Step 3: Cross multiply
    7,265.46x = 10,873.49 × 6,096.77
  4. Step 4: Simplify right side
    7,265.46x = 66,293,082.78
  5. Step 5: Solve for x
    x = 66,293,082.78/7,265.46
  6. Step 6: Final answer
    x = 9,124.42

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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.