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Finding the Fourth Proportional to 7,391.64, 11,057.08 and 6,742.84

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Solution

The fourth proportional to 7,391.64, 11,057.08 and 6,742.84 is: 10,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.64 : 11,057.08 = 6,742.84 : x
  2. Step 2: Convert to fraction form
    7,391.64/11,057.08 = 6,742.84/x
  3. Step 3: Cross multiply
    7,391.64x = 11,057.08 × 6,742.84
  4. Step 4: Simplify right side
    7,391.64x = 74,556,121.31
  5. Step 5: Solve for x
    x = 74,556,121.31/7,391.64
  6. Step 6: Final answer
    x = 10,086.55

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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.