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Finding the Fourth Proportional to 10,080.57, 13,910.88 and 5,831.53

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Solution

The fourth proportional to 10,080.57, 13,910.88 and 5,831.53 is: 8,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.57 : 13,910.88 = 5,831.53 : x
  2. Step 2: Convert to fraction form
    10,080.57/13,910.88 = 5,831.53/x
  3. Step 3: Cross multiply
    10,080.57x = 13,910.88 × 5,831.53
  4. Step 4: Simplify right side
    10,080.57x = 81,121,714.05
  5. Step 5: Solve for x
    x = 81,121,714.05/10,080.57
  6. Step 6: Final answer
    x = 8,047.33

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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.