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Finding the Fourth Proportional to 10,448.09, 15,677.53 and 6,940.52

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Solution

The fourth proportional to 10,448.09, 15,677.53 and 6,940.52 is: 10,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.09 : 15,677.53 = 6,940.52 : x
  2. Step 2: Convert to fraction form
    10,448.09/15,677.53 = 6,940.52/x
  3. Step 3: Cross multiply
    10,448.09x = 15,677.53 × 6,940.52
  4. Step 4: Simplify right side
    10,448.09x = 108,810,232.36
  5. Step 5: Solve for x
    x = 108,810,232.36/10,448.09
  6. Step 6: Final answer
    x = 10,414.36

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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.