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Finding the Fourth Proportional to 8,188.29, 11,299.82 and 4,462.29

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Solution

The fourth proportional to 8,188.29, 11,299.82 and 4,462.29 is: 6,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.29 : 11,299.82 = 4,462.29 : x
  2. Step 2: Convert to fraction form
    8,188.29/11,299.82 = 4,462.29/x
  3. Step 3: Cross multiply
    8,188.29x = 11,299.82 × 4,462.29
  4. Step 4: Simplify right side
    8,188.29x = 50,423,051.48
  5. Step 5: Solve for x
    x = 50,423,051.48/8,188.29
  6. Step 6: Final answer
    x = 6,157.95

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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.