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Finding the Fourth Proportional to 10,137.54, 13,991.13 and 5,946.18

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Solution

The fourth proportional to 10,137.54, 13,991.13 and 5,946.18 is: 8,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.54 : 13,991.13 = 5,946.18 : x
  2. Step 2: Convert to fraction form
    10,137.54/13,991.13 = 5,946.18/x
  3. Step 3: Cross multiply
    10,137.54x = 13,991.13 × 5,946.18
  4. Step 4: Simplify right side
    10,137.54x = 83,193,777.38
  5. Step 5: Solve for x
    x = 83,193,777.38/10,137.54
  6. Step 6: Final answer
    x = 8,206.51

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Why These Related Problems?

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