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Finding the Fourth Proportional to 6,967.40, 10,451.44 and 2,806.85

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Solution

The fourth proportional to 6,967.40, 10,451.44 and 2,806.85 is: 4,210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.40 : 10,451.44 = 2,806.85 : x
  2. Step 2: Convert to fraction form
    6,967.40/10,451.44 = 2,806.85/x
  3. Step 3: Cross multiply
    6,967.40x = 10,451.44 × 2,806.85
  4. Step 4: Simplify right side
    6,967.40x = 29,335,572.11
  5. Step 5: Solve for x
    x = 29,335,572.11/6,967.40
  6. Step 6: Final answer
    x = 4,210.41

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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.