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Finding the Fourth Proportional to 11,506.77, 17,229.38 and 6,569.62

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Solution

The fourth proportional to 11,506.77, 17,229.38 and 6,569.62 is: 9,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.77 : 17,229.38 = 6,569.62 : x
  2. Step 2: Convert to fraction form
    11,506.77/17,229.38 = 6,569.62/x
  3. Step 3: Cross multiply
    11,506.77x = 17,229.38 × 6,569.62
  4. Step 4: Simplify right side
    11,506.77x = 113,190,403.51
  5. Step 5: Solve for x
    x = 113,190,403.51/11,506.77
  6. Step 6: Final answer
    x = 9,836.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.