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Finding the Fourth Proportional to 6,964.49, 10,447.20 and 2,804.52

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Solution

The fourth proportional to 6,964.49, 10,447.20 and 2,804.52 is: 4,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.49 : 10,447.20 = 2,804.52 : x
  2. Step 2: Convert to fraction form
    6,964.49/10,447.20 = 2,804.52/x
  3. Step 3: Cross multiply
    6,964.49x = 10,447.20 × 2,804.52
  4. Step 4: Simplify right side
    6,964.49x = 29,299,381.34
  5. Step 5: Solve for x
    x = 29,299,381.34/6,964.49
  6. Step 6: Final answer
    x = 4,206.97

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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.