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Finding the Fourth Proportional to 10,768.32, 16,152.64 and 2,871

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Solution

The fourth proportional to 10,768.32, 16,152.64 and 2,871 is: 4,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.32 : 16,152.64 = 2,871 : x
  2. Step 2: Convert to fraction form
    10,768.32/16,152.64 = 2,871/x
  3. Step 3: Cross multiply
    10,768.32x = 16,152.64 × 2,871
  4. Step 4: Simplify right side
    10,768.32x = 46,374,229.44
  5. Step 5: Solve for x
    x = 46,374,229.44/10,768.32
  6. Step 6: Final answer
    x = 4,306.54

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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.