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Finding the Fourth Proportional to 10,874.02, 16,308.57 and 5,321.83

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Solution

The fourth proportional to 10,874.02, 16,308.57 and 5,321.83 is: 7,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.02 : 16,308.57 = 5,321.83 : x
  2. Step 2: Convert to fraction form
    10,874.02/16,308.57 = 5,321.83/x
  3. Step 3: Cross multiply
    10,874.02x = 16,308.57 × 5,321.83
  4. Step 4: Simplify right side
    10,874.02x = 86,791,437.08
  5. Step 5: Solve for x
    x = 86,791,437.08/10,874.02
  6. Step 6: Final answer
    x = 7,981.54

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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.