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Finding the Fourth Proportional to 6,061.68, 9,091.49 and 1,678.11

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Solution

The fourth proportional to 6,061.68, 9,091.49 and 1,678.11 is: 2,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.68 : 9,091.49 = 1,678.11 : x
  2. Step 2: Convert to fraction form
    6,061.68/9,091.49 = 1,678.11/x
  3. Step 3: Cross multiply
    6,061.68x = 9,091.49 × 1,678.11
  4. Step 4: Simplify right side
    6,061.68x = 15,256,511.89
  5. Step 5: Solve for x
    x = 15,256,511.89/6,061.68
  6. Step 6: Final answer
    x = 2,516.88

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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.