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Finding the Fourth Proportional to 10,964.58, 16,449.30 and 5,118

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Solution

The fourth proportional to 10,964.58, 16,449.30 and 5,118 is: 7,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.58 : 16,449.30 = 5,118 : x
  2. Step 2: Convert to fraction form
    10,964.58/16,449.30 = 5,118/x
  3. Step 3: Cross multiply
    10,964.58x = 16,449.30 × 5,118
  4. Step 4: Simplify right side
    10,964.58x = 84,187,517.40
  5. Step 5: Solve for x
    x = 84,187,517.40/10,964.58
  6. Step 6: Final answer
    x = 7,678.13

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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.