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Finding the Fourth Proportional to 11,572.29, 15,969.66 and 6,266.97

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Solution

The fourth proportional to 11,572.29, 15,969.66 and 6,266.97 is: 8,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.29 : 15,969.66 = 6,266.97 : x
  2. Step 2: Convert to fraction form
    11,572.29/15,969.66 = 6,266.97/x
  3. Step 3: Cross multiply
    11,572.29x = 15,969.66 × 6,266.97
  4. Step 4: Simplify right side
    11,572.29x = 100,081,380.13
  5. Step 5: Solve for x
    x = 100,081,380.13/11,572.29
  6. Step 6: Final answer
    x = 8,648.36

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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.