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Finding the Fourth Proportional to 11,829.17, 16,322.49 and 6,793.61

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Solution

The fourth proportional to 11,829.17, 16,322.49 and 6,793.61 is: 9,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.17 : 16,322.49 = 6,793.61 : x
  2. Step 2: Convert to fraction form
    11,829.17/16,322.49 = 6,793.61/x
  3. Step 3: Cross multiply
    11,829.17x = 16,322.49 × 6,793.61
  4. Step 4: Simplify right side
    11,829.17x = 110,888,549.68
  5. Step 5: Solve for x
    x = 110,888,549.68/11,829.17
  6. Step 6: Final answer
    x = 9,374.16

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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.