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Finding the Fourth Proportional to 6,771.92, 10,156.84 and 2,388.76

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Solution

The fourth proportional to 6,771.92, 10,156.84 and 2,388.76 is: 3,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.92 : 10,156.84 = 2,388.76 : x
  2. Step 2: Convert to fraction form
    6,771.92/10,156.84 = 2,388.76/x
  3. Step 3: Cross multiply
    6,771.92x = 10,156.84 × 2,388.76
  4. Step 4: Simplify right side
    6,771.92x = 24,262,253.12
  5. Step 5: Solve for x
    x = 24,262,253.12/6,771.92
  6. Step 6: Final answer
    x = 3,582.77

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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.