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Finding the Fourth Proportional to 10,678.58, 16,003.94 and 7,726.97

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Solution

The fourth proportional to 10,678.58, 16,003.94 and 7,726.97 is: 11,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.58 : 16,003.94 = 7,726.97 : x
  2. Step 2: Convert to fraction form
    10,678.58/16,003.94 = 7,726.97/x
  3. Step 3: Cross multiply
    10,678.58x = 16,003.94 × 7,726.97
  4. Step 4: Simplify right side
    10,678.58x = 123,661,964.26
  5. Step 5: Solve for x
    x = 123,661,964.26/10,678.58
  6. Step 6: Final answer
    x = 11,580.38

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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.