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Finding the Fourth Proportional to 11,859.12, 16,364.94 and 7,382.76

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Solution

The fourth proportional to 11,859.12, 16,364.94 and 7,382.76 is: 10,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.12 : 16,364.94 = 7,382.76 : x
  2. Step 2: Convert to fraction form
    11,859.12/16,364.94 = 7,382.76/x
  3. Step 3: Cross multiply
    11,859.12x = 16,364.94 × 7,382.76
  4. Step 4: Simplify right side
    11,859.12x = 120,818,424.43
  5. Step 5: Solve for x
    x = 120,818,424.43/11,859.12
  6. Step 6: Final answer
    x = 10,187.81

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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.