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Finding the Fourth Proportional to 8,548.95, 11,796.26 and 5,191.14

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Solution

The fourth proportional to 8,548.95, 11,796.26 and 5,191.14 is: 7,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.95 : 11,796.26 = 5,191.14 : x
  2. Step 2: Convert to fraction form
    8,548.95/11,796.26 = 5,191.14/x
  3. Step 3: Cross multiply
    8,548.95x = 11,796.26 × 5,191.14
  4. Step 4: Simplify right side
    8,548.95x = 61,236,011.18
  5. Step 5: Solve for x
    x = 61,236,011.18/8,548.95
  6. Step 6: Final answer
    x = 7,162.99

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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.