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Finding the Fourth Proportional to 8,197.31, 11,292.53 and 6,518.18

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Solution

The fourth proportional to 8,197.31, 11,292.53 and 6,518.18 is: 8,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.31 : 11,292.53 = 6,518.18 : x
  2. Step 2: Convert to fraction form
    8,197.31/11,292.53 = 6,518.18/x
  3. Step 3: Cross multiply
    8,197.31x = 11,292.53 × 6,518.18
  4. Step 4: Simplify right side
    8,197.31x = 73,606,654.14
  5. Step 5: Solve for x
    x = 73,606,654.14/8,197.31
  6. Step 6: Final answer
    x = 8,979.37

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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.