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Finding the Fourth Proportional to 8,278.30, 11,419.50 and 5,247.88

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Solution

The fourth proportional to 8,278.30, 11,419.50 and 5,247.88 is: 7,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.30 : 11,419.50 = 5,247.88 : x
  2. Step 2: Convert to fraction form
    8,278.30/11,419.50 = 5,247.88/x
  3. Step 3: Cross multiply
    8,278.30x = 11,419.50 × 5,247.88
  4. Step 4: Simplify right side
    8,278.30x = 59,928,165.66
  5. Step 5: Solve for x
    x = 59,928,165.66/8,278.30
  6. Step 6: Final answer
    x = 7,239.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.