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Finding the Fourth Proportional to 10,405.69, 15,612.98 and 6,896.92

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Solution

The fourth proportional to 10,405.69, 15,612.98 and 6,896.92 is: 10,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.69 : 15,612.98 = 6,896.92 : x
  2. Step 2: Convert to fraction form
    10,405.69/15,612.98 = 6,896.92/x
  3. Step 3: Cross multiply
    10,405.69x = 15,612.98 × 6,896.92
  4. Step 4: Simplify right side
    10,405.69x = 107,681,493.09
  5. Step 5: Solve for x
    x = 107,681,493.09/10,405.69
  6. Step 6: Final answer
    x = 10,348.33

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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.