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Finding the Fourth Proportional to 6,967.69, 10,448.92 and 2,806.29

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Solution

The fourth proportional to 6,967.69, 10,448.92 and 2,806.29 is: 4,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.69 : 10,448.92 = 2,806.29 : x
  2. Step 2: Convert to fraction form
    6,967.69/10,448.92 = 2,806.29/x
  3. Step 3: Cross multiply
    6,967.69x = 10,448.92 × 2,806.29
  4. Step 4: Simplify right side
    6,967.69x = 29,322,699.71
  5. Step 5: Solve for x
    x = 29,322,699.71/6,967.69
  6. Step 6: Final answer
    x = 4,208.38

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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.