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Finding the Fourth Proportional to 10,272.99, 15,395.31 and 5,332.80

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Solution

The fourth proportional to 10,272.99, 15,395.31 and 5,332.80 is: 7,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.99 : 15,395.31 = 5,332.80 : x
  2. Step 2: Convert to fraction form
    10,272.99/15,395.31 = 5,332.80/x
  3. Step 3: Cross multiply
    10,272.99x = 15,395.31 × 5,332.80
  4. Step 4: Simplify right side
    10,272.99x = 82,100,109.17
  5. Step 5: Solve for x
    x = 82,100,109.17/10,272.99
  6. Step 6: Final answer
    x = 7,991.84

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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.