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Finding the Fourth Proportional to 10,992.64, 16,491.52 and 5,797.12

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Solution

The fourth proportional to 10,992.64, 16,491.52 and 5,797.12 is: 8,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.64 : 16,491.52 = 5,797.12 : x
  2. Step 2: Convert to fraction form
    10,992.64/16,491.52 = 5,797.12/x
  3. Step 3: Cross multiply
    10,992.64x = 16,491.52 × 5,797.12
  4. Step 4: Simplify right side
    10,992.64x = 95,603,320.42
  5. Step 5: Solve for x
    x = 95,603,320.42/10,992.64
  6. Step 6: Final answer
    x = 8,697.03

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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.