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Finding the Fourth Proportional to 6,869.46, 10,305.12 and 3,357.10

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Solution

The fourth proportional to 6,869.46, 10,305.12 and 3,357.10 is: 5,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.46 : 10,305.12 = 3,357.10 : x
  2. Step 2: Convert to fraction form
    6,869.46/10,305.12 = 3,357.10/x
  3. Step 3: Cross multiply
    6,869.46x = 10,305.12 × 3,357.10
  4. Step 4: Simplify right side
    6,869.46x = 34,595,285.86
  5. Step 5: Solve for x
    x = 34,595,285.86/6,869.46
  6. Step 6: Final answer
    x = 5,036.10

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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.