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Finding the Fourth Proportional to 8,188.17, 11,301.50 and 5,203.42

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Solution

The fourth proportional to 8,188.17, 11,301.50 and 5,203.42 is: 7,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.17 : 11,301.50 = 5,203.42 : x
  2. Step 2: Convert to fraction form
    8,188.17/11,301.50 = 5,203.42/x
  3. Step 3: Cross multiply
    8,188.17x = 11,301.50 × 5,203.42
  4. Step 4: Simplify right side
    8,188.17x = 58,806,484.82
  5. Step 5: Solve for x
    x = 58,806,484.82/8,188.17
  6. Step 6: Final answer
    x = 7,181.88

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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.