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Finding the Fourth Proportional to 6,901.42, 10,353.09 and 2,741.85

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Solution

The fourth proportional to 6,901.42, 10,353.09 and 2,741.85 is: 4,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.42 : 10,353.09 = 2,741.85 : x
  2. Step 2: Convert to fraction form
    6,901.42/10,353.09 = 2,741.85/x
  3. Step 3: Cross multiply
    6,901.42x = 10,353.09 × 2,741.85
  4. Step 4: Simplify right side
    6,901.42x = 28,386,568.05
  5. Step 5: Solve for x
    x = 28,386,568.05/6,901.42
  6. Step 6: Final answer
    x = 4,113.15

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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.