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Finding the Fourth Proportional to 10,674.73, 16,009.65 and 2,884.15

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Solution

The fourth proportional to 10,674.73, 16,009.65 and 2,884.15 is: 4,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.73 : 16,009.65 = 2,884.15 : x
  2. Step 2: Convert to fraction form
    10,674.73/16,009.65 = 2,884.15/x
  3. Step 3: Cross multiply
    10,674.73x = 16,009.65 × 2,884.15
  4. Step 4: Simplify right side
    10,674.73x = 46,174,232.05
  5. Step 5: Solve for x
    x = 46,174,232.05/10,674.73
  6. Step 6: Final answer
    x = 4,325.56

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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.