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Finding the Fourth Proportional to 10,171.80, 14,022.63 and 7,478.26

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Solution

The fourth proportional to 10,171.80, 14,022.63 and 7,478.26 is: 10,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.80 : 14,022.63 = 7,478.26 : x
  2. Step 2: Convert to fraction form
    10,171.80/14,022.63 = 7,478.26/x
  3. Step 3: Cross multiply
    10,171.80x = 14,022.63 × 7,478.26
  4. Step 4: Simplify right side
    10,171.80x = 104,864,873.02
  5. Step 5: Solve for x
    x = 104,864,873.02/10,171.80
  6. Step 6: Final answer
    x = 10,309.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.