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Finding the Fourth Proportional to 7,442.87, 11,164.56 and 3,743.08

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Solution

The fourth proportional to 7,442.87, 11,164.56 and 3,743.08 is: 5,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.87 : 11,164.56 = 3,743.08 : x
  2. Step 2: Convert to fraction form
    7,442.87/11,164.56 = 3,743.08/x
  3. Step 3: Cross multiply
    7,442.87x = 11,164.56 × 3,743.08
  4. Step 4: Simplify right side
    7,442.87x = 41,789,869.16
  5. Step 5: Solve for x
    x = 41,789,869.16/7,442.87
  6. Step 6: Final answer
    x = 5,614.75

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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.