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Finding the Fourth Proportional to 7,442.80, 11,164.20 and 6,349.30

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Solution

The fourth proportional to 7,442.80, 11,164.20 and 6,349.30 is: 9,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.80 : 11,164.20 = 6,349.30 : x
  2. Step 2: Convert to fraction form
    7,442.80/11,164.20 = 6,349.30/x
  3. Step 3: Cross multiply
    7,442.80x = 11,164.20 × 6,349.30
  4. Step 4: Simplify right side
    7,442.80x = 70,884,855.06
  5. Step 5: Solve for x
    x = 70,884,855.06/7,442.80
  6. Step 6: Final answer
    x = 9,523.95

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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.