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Finding the Fourth Proportional to 11,858.80, 16,362.32 and 7,380.15

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Solution

The fourth proportional to 11,858.80, 16,362.32 and 7,380.15 is: 10,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.80 : 16,362.32 = 7,380.15 : x
  2. Step 2: Convert to fraction form
    11,858.80/16,362.32 = 7,380.15/x
  3. Step 3: Cross multiply
    11,858.80x = 16,362.32 × 7,380.15
  4. Step 4: Simplify right side
    11,858.80x = 120,756,339.05
  5. Step 5: Solve for x
    x = 120,756,339.05/11,858.80
  6. Step 6: Final answer
    x = 10,182.85

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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.