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Finding the Fourth Proportional to 11,911.32, 16,438.68 and 6,607.44

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Solution

The fourth proportional to 11,911.32, 16,438.68 and 6,607.44 is: 9,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.32 : 16,438.68 = 6,607.44 : x
  2. Step 2: Convert to fraction form
    11,911.32/16,438.68 = 6,607.44/x
  3. Step 3: Cross multiply
    11,911.32x = 16,438.68 × 6,607.44
  4. Step 4: Simplify right side
    11,911.32x = 108,617,591.78
  5. Step 5: Solve for x
    x = 108,617,591.78/11,911.32
  6. Step 6: Final answer
    x = 9,118.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.