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Finding the Fourth Proportional to 8,278.33, 12,388.85 and 5,114.47

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Solution

The fourth proportional to 8,278.33, 12,388.85 and 5,114.47 is: 7,654.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.33 : 12,388.85 = 5,114.47 : x
  2. Step 2: Convert to fraction form
    8,278.33/12,388.85 = 5,114.47/x
  3. Step 3: Cross multiply
    8,278.33x = 12,388.85 × 5,114.47
  4. Step 4: Simplify right side
    8,278.33x = 63,362,439.52
  5. Step 5: Solve for x
    x = 63,362,439.52/8,278.33
  6. Step 6: Final answer
    x = 7,654.01

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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.