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Finding the Fourth Proportional to 6,887.84, 10,317.92 and 3,184.88

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Solution

The fourth proportional to 6,887.84, 10,317.92 and 3,184.88 is: 4,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.84 : 10,317.92 = 3,184.88 : x
  2. Step 2: Convert to fraction form
    6,887.84/10,317.92 = 3,184.88/x
  3. Step 3: Cross multiply
    6,887.84x = 10,317.92 × 3,184.88
  4. Step 4: Simplify right side
    6,887.84x = 32,861,337.05
  5. Step 5: Solve for x
    x = 32,861,337.05/6,887.84
  6. Step 6: Final answer
    x = 4,770.92

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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.