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Finding the Fourth Proportional to 8,022.31, 11,046.58 and 7,180.32

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Solution

The fourth proportional to 8,022.31, 11,046.58 and 7,180.32 is: 9,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.31 : 11,046.58 = 7,180.32 : x
  2. Step 2: Convert to fraction form
    8,022.31/11,046.58 = 7,180.32/x
  3. Step 3: Cross multiply
    8,022.31x = 11,046.58 × 7,180.32
  4. Step 4: Simplify right side
    8,022.31x = 79,317,979.31
  5. Step 5: Solve for x
    x = 79,317,979.31/8,022.31
  6. Step 6: Final answer
    x = 9,887.17

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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.