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Finding the Fourth Proportional to 7,412.80, 10,229.84 and 4,428.09

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Solution

The fourth proportional to 7,412.80, 10,229.84 and 4,428.09 is: 6,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.80 : 10,229.84 = 4,428.09 : x
  2. Step 2: Convert to fraction form
    7,412.80/10,229.84 = 4,428.09/x
  3. Step 3: Cross multiply
    7,412.80x = 10,229.84 × 4,428.09
  4. Step 4: Simplify right side
    7,412.80x = 45,298,652.21
  5. Step 5: Solve for x
    x = 45,298,652.21/7,412.80
  6. Step 6: Final answer
    x = 6,110.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.