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Finding the Fourth Proportional to 6,964.68, 10,447.50 and 2,804.70

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Solution

The fourth proportional to 6,964.68, 10,447.50 and 2,804.70 is: 4,207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.68 : 10,447.50 = 2,804.70 : x
  2. Step 2: Convert to fraction form
    6,964.68/10,447.50 = 2,804.70/x
  3. Step 3: Cross multiply
    6,964.68x = 10,447.50 × 2,804.70
  4. Step 4: Simplify right side
    6,964.68x = 29,302,103.25
  5. Step 5: Solve for x
    x = 29,302,103.25/6,964.68
  6. Step 6: Final answer
    x = 4,207.24

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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.