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Finding the Fourth Proportional to 10,726.40, 16,078.40 and 5,171.36

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Solution

The fourth proportional to 10,726.40, 16,078.40 and 5,171.36 is: 7,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.40 : 16,078.40 = 5,171.36 : x
  2. Step 2: Convert to fraction form
    10,726.40/16,078.40 = 5,171.36/x
  3. Step 3: Cross multiply
    10,726.40x = 16,078.40 × 5,171.36
  4. Step 4: Simplify right side
    10,726.40x = 83,147,194.62
  5. Step 5: Solve for x
    x = 83,147,194.62/10,726.40
  6. Step 6: Final answer
    x = 7,751.64

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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.