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Finding the Fourth Proportional to 7,229.40, 10,851.66 and 6,412.92

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Solution

The fourth proportional to 7,229.40, 10,851.66 and 6,412.92 is: 9,626.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.40 : 10,851.66 = 6,412.92 : x
  2. Step 2: Convert to fraction form
    7,229.40/10,851.66 = 6,412.92/x
  3. Step 3: Cross multiply
    7,229.40x = 10,851.66 × 6,412.92
  4. Step 4: Simplify right side
    7,229.40x = 69,590,827.45
  5. Step 5: Solve for x
    x = 69,590,827.45/7,229.40
  6. Step 6: Final answer
    x = 9,626.09

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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.