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Finding the Fourth Proportional to 11,009.83, 15,194.31 and 6,229.77

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Solution

The fourth proportional to 11,009.83, 15,194.31 and 6,229.77 is: 8,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.83 : 15,194.31 = 6,229.77 : x
  2. Step 2: Convert to fraction form
    11,009.83/15,194.31 = 6,229.77/x
  3. Step 3: Cross multiply
    11,009.83x = 15,194.31 × 6,229.77
  4. Step 4: Simplify right side
    11,009.83x = 94,656,949.49
  5. Step 5: Solve for x
    x = 94,656,949.49/11,009.83
  6. Step 6: Final answer
    x = 8,597.50

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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.