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Finding the Fourth Proportional to 10,807.12, 16,198.80 and 4,232.08

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Solution

The fourth proportional to 10,807.12, 16,198.80 and 4,232.08 is: 6,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.12 : 16,198.80 = 4,232.08 : x
  2. Step 2: Convert to fraction form
    10,807.12/16,198.80 = 4,232.08/x
  3. Step 3: Cross multiply
    10,807.12x = 16,198.80 × 4,232.08
  4. Step 4: Simplify right side
    10,807.12x = 68,554,617.50
  5. Step 5: Solve for x
    x = 68,554,617.50/10,807.12
  6. Step 6: Final answer
    x = 6,343.47

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Why These Related Problems?

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