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Finding the Fourth Proportional to 10,131.57, 13,983.89 and 5,941.17

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Solution

The fourth proportional to 10,131.57, 13,983.89 and 5,941.17 is: 8,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.57 : 13,983.89 = 5,941.17 : x
  2. Step 2: Convert to fraction form
    10,131.57/13,983.89 = 5,941.17/x
  3. Step 3: Cross multiply
    10,131.57x = 13,983.89 × 5,941.17
  4. Step 4: Simplify right side
    10,131.57x = 83,080,612.68
  5. Step 5: Solve for x
    x = 83,080,612.68/10,131.57
  6. Step 6: Final answer
    x = 8,200.18

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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.