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Finding the Fourth Proportional to 8,143.60, 11,233.17 and 7,196.36

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Solution

The fourth proportional to 8,143.60, 11,233.17 and 7,196.36 is: 9,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.60 : 11,233.17 = 7,196.36 : x
  2. Step 2: Convert to fraction form
    8,143.60/11,233.17 = 7,196.36/x
  3. Step 3: Cross multiply
    8,143.60x = 11,233.17 × 7,196.36
  4. Step 4: Simplify right side
    8,143.60x = 80,837,879.10
  5. Step 5: Solve for x
    x = 80,837,879.10/8,143.60
  6. Step 6: Final answer
    x = 9,926.56

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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.