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Finding the Fourth Proportional to 11,092.05, 16,587.51 and 8,282.82

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Solution

The fourth proportional to 11,092.05, 16,587.51 and 8,282.82 is: 12,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.05 : 16,587.51 = 8,282.82 : x
  2. Step 2: Convert to fraction form
    11,092.05/16,587.51 = 8,282.82/x
  3. Step 3: Cross multiply
    11,092.05x = 16,587.51 × 8,282.82
  4. Step 4: Simplify right side
    11,092.05x = 137,391,359.58
  5. Step 5: Solve for x
    x = 137,391,359.58/11,092.05
  6. Step 6: Final answer
    x = 12,386.47

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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.