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Finding the Fourth Proportional to 10,850.46, 16,258.94 and 7,326.65

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Solution

The fourth proportional to 10,850.46, 16,258.94 and 7,326.65 is: 10,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.46 : 16,258.94 = 7,326.65 : x
  2. Step 2: Convert to fraction form
    10,850.46/16,258.94 = 7,326.65/x
  3. Step 3: Cross multiply
    10,850.46x = 16,258.94 × 7,326.65
  4. Step 4: Simplify right side
    10,850.46x = 119,123,562.75
  5. Step 5: Solve for x
    x = 119,123,562.75/10,850.46
  6. Step 6: Final answer
    x = 10,978.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.