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Finding the Fourth Proportional to 7,442.64, 11,166.39 and 3,743.10

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Solution

The fourth proportional to 7,442.64, 11,166.39 and 3,743.10 is: 5,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.64 : 11,166.39 = 3,743.10 : x
  2. Step 2: Convert to fraction form
    7,442.64/11,166.39 = 3,743.10/x
  3. Step 3: Cross multiply
    7,442.64x = 11,166.39 × 3,743.10
  4. Step 4: Simplify right side
    7,442.64x = 41,796,914.41
  5. Step 5: Solve for x
    x = 41,796,914.41/7,442.64
  6. Step 6: Final answer
    x = 5,615.87

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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.