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Finding the Fourth Proportional to 7,346.92, 11,014.62 and 3,882.28

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Solution

The fourth proportional to 7,346.92, 11,014.62 and 3,882.28 is: 5,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.92 : 11,014.62 = 3,882.28 : x
  2. Step 2: Convert to fraction form
    7,346.92/11,014.62 = 3,882.28/x
  3. Step 3: Cross multiply
    7,346.92x = 11,014.62 × 3,882.28
  4. Step 4: Simplify right side
    7,346.92x = 42,761,838.93
  5. Step 5: Solve for x
    x = 42,761,838.93/7,346.92
  6. Step 6: Final answer
    x = 5,820.38

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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.