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Finding the Fourth Proportional to 7,405.40, 11,116.20 and 5,769.20

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Solution

The fourth proportional to 7,405.40, 11,116.20 and 5,769.20 is: 8,660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.40 : 11,116.20 = 5,769.20 : x
  2. Step 2: Convert to fraction form
    7,405.40/11,116.20 = 5,769.20/x
  3. Step 3: Cross multiply
    7,405.40x = 11,116.20 × 5,769.20
  4. Step 4: Simplify right side
    7,405.40x = 64,131,581.04
  5. Step 5: Solve for x
    x = 64,131,581.04/7,405.40
  6. Step 6: Final answer
    x = 8,660.11

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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.