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Finding the Fourth Proportional to 7,282.78, 10,906.35 and 3,388.30

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Solution

The fourth proportional to 7,282.78, 10,906.35 and 3,388.30 is: 5,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.78 : 10,906.35 = 3,388.30 : x
  2. Step 2: Convert to fraction form
    7,282.78/10,906.35 = 3,388.30/x
  3. Step 3: Cross multiply
    7,282.78x = 10,906.35 × 3,388.30
  4. Step 4: Simplify right side
    7,282.78x = 36,953,985.71
  5. Step 5: Solve for x
    x = 36,953,985.71/7,282.78
  6. Step 6: Final answer
    x = 5,074.16

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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.