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Finding the Fourth Proportional to 7,349.20, 10,996.80 and 5,405.20

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Solution

The fourth proportional to 7,349.20, 10,996.80 and 5,405.20 is: 8,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.20 : 10,996.80 = 5,405.20 : x
  2. Step 2: Convert to fraction form
    7,349.20/10,996.80 = 5,405.20/x
  3. Step 3: Cross multiply
    7,349.20x = 10,996.80 × 5,405.20
  4. Step 4: Simplify right side
    7,349.20x = 59,439,903.36
  5. Step 5: Solve for x
    x = 59,439,903.36/7,349.20
  6. Step 6: Final answer
    x = 8,087.94

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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.