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Finding the Fourth Proportional to 10,872.36, 16,305.30 and 4,632.30

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Solution

The fourth proportional to 10,872.36, 16,305.30 and 4,632.30 is: 6,947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.36 : 16,305.30 = 4,632.30 : x
  2. Step 2: Convert to fraction form
    10,872.36/16,305.30 = 4,632.30/x
  3. Step 3: Cross multiply
    10,872.36x = 16,305.30 × 4,632.30
  4. Step 4: Simplify right side
    10,872.36x = 75,531,041.19
  5. Step 5: Solve for x
    x = 75,531,041.19/10,872.36
  6. Step 6: Final answer
    x = 6,947.07

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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.