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Finding the Fourth Proportional to 11,282.30, 15,572.07 and 6,569.31

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Solution

The fourth proportional to 11,282.30, 15,572.07 and 6,569.31 is: 9,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.30 : 15,572.07 = 6,569.31 : x
  2. Step 2: Convert to fraction form
    11,282.30/15,572.07 = 6,569.31/x
  3. Step 3: Cross multiply
    11,282.30x = 15,572.07 × 6,569.31
  4. Step 4: Simplify right side
    11,282.30x = 102,297,755.17
  5. Step 5: Solve for x
    x = 102,297,755.17/11,282.30
  6. Step 6: Final answer
    x = 9,067.11

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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.