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Finding the Fourth Proportional to 7,342.71, 11,005.85 and 3,186.20

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Solution

The fourth proportional to 7,342.71, 11,005.85 and 3,186.20 is: 4,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.71 : 11,005.85 = 3,186.20 : x
  2. Step 2: Convert to fraction form
    7,342.71/11,005.85 = 3,186.20/x
  3. Step 3: Cross multiply
    7,342.71x = 11,005.85 × 3,186.20
  4. Step 4: Simplify right side
    7,342.71x = 35,066,768.31
  5. Step 5: Solve for x
    x = 35,066,768.31/7,342.71
  6. Step 6: Final answer
    x = 4,775.73

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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.