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Finding the Fourth Proportional to 10,961.60, 16,418.10 and 4,384.40

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Solution

The fourth proportional to 10,961.60, 16,418.10 and 4,384.40 is: 6,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.60 : 16,418.10 = 4,384.40 : x
  2. Step 2: Convert to fraction form
    10,961.60/16,418.10 = 4,384.40/x
  3. Step 3: Cross multiply
    10,961.60x = 16,418.10 × 4,384.40
  4. Step 4: Simplify right side
    10,961.60x = 71,983,517.64
  5. Step 5: Solve for x
    x = 71,983,517.64/10,961.60
  6. Step 6: Final answer
    x = 6,566.88

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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.