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Finding the Fourth Proportional to 6,808.64, 10,195.68 and 5,437.76

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Solution

The fourth proportional to 6,808.64, 10,195.68 and 5,437.76 is: 8,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.64 : 10,195.68 = 5,437.76 : x
  2. Step 2: Convert to fraction form
    6,808.64/10,195.68 = 5,437.76/x
  3. Step 3: Cross multiply
    6,808.64x = 10,195.68 × 5,437.76
  4. Step 4: Simplify right side
    6,808.64x = 55,441,660.88
  5. Step 5: Solve for x
    x = 55,441,660.88/6,808.64
  6. Step 6: Final answer
    x = 8,142.84

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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.