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Finding the Fourth Proportional to 10,080.26, 13,910.81 and 5,831.24

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Solution

The fourth proportional to 10,080.26, 13,910.81 and 5,831.24 is: 8,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.26 : 13,910.81 = 5,831.24 : x
  2. Step 2: Convert to fraction form
    10,080.26/13,910.81 = 5,831.24/x
  3. Step 3: Cross multiply
    10,080.26x = 13,910.81 × 5,831.24
  4. Step 4: Simplify right side
    10,080.26x = 81,117,172.99
  5. Step 5: Solve for x
    x = 81,117,172.99/10,080.26
  6. Step 6: Final answer
    x = 8,047.14

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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.