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Finding the Fourth Proportional to 10,883.90, 16,321.75 and 4,311.02

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Solution

The fourth proportional to 10,883.90, 16,321.75 and 4,311.02 is: 6,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.90 : 16,321.75 = 4,311.02 : x
  2. Step 2: Convert to fraction form
    10,883.90/16,321.75 = 4,311.02/x
  3. Step 3: Cross multiply
    10,883.90x = 16,321.75 × 4,311.02
  4. Step 4: Simplify right side
    10,883.90x = 70,363,390.69
  5. Step 5: Solve for x
    x = 70,363,390.69/10,883.90
  6. Step 6: Final answer
    x = 6,464.91

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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.