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Finding the Fourth Proportional to 10,807.68, 16,189.88 and 4,956.24

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Solution

The fourth proportional to 10,807.68, 16,189.88 and 4,956.24 is: 7,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.68 : 16,189.88 = 4,956.24 : x
  2. Step 2: Convert to fraction form
    10,807.68/16,189.88 = 4,956.24/x
  3. Step 3: Cross multiply
    10,807.68x = 16,189.88 × 4,956.24
  4. Step 4: Simplify right side
    10,807.68x = 80,240,930.85
  5. Step 5: Solve for x
    x = 80,240,930.85/10,807.68
  6. Step 6: Final answer
    x = 7,424.44

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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.