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Finding the Fourth Proportional to 10,874.25, 16,311.38 and 4,718.25

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Solution

The fourth proportional to 10,874.25, 16,311.38 and 4,718.25 is: 7,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.25 : 16,311.38 = 4,718.25 : x
  2. Step 2: Convert to fraction form
    10,874.25/16,311.38 = 4,718.25/x
  3. Step 3: Cross multiply
    10,874.25x = 16,311.38 × 4,718.25
  4. Step 4: Simplify right side
    10,874.25x = 76,961,145.09
  5. Step 5: Solve for x
    x = 76,961,145.09/10,874.25
  6. Step 6: Final answer
    x = 7,077.38

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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.