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Finding the Fourth Proportional to 11,604.18, 16,008.57 and 7,826.12

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Solution

The fourth proportional to 11,604.18, 16,008.57 and 7,826.12 is: 10,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.18 : 16,008.57 = 7,826.12 : x
  2. Step 2: Convert to fraction form
    11,604.18/16,008.57 = 7,826.12/x
  3. Step 3: Cross multiply
    11,604.18x = 16,008.57 × 7,826.12
  4. Step 4: Simplify right side
    11,604.18x = 125,284,909.81
  5. Step 5: Solve for x
    x = 125,284,909.81/11,604.18
  6. Step 6: Final answer
    x = 10,796.53

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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.