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Finding the Fourth Proportional to 10,126, 13,972.39 and 5,649.40

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Solution

The fourth proportional to 10,126, 13,972.39 and 5,649.40 is: 7,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126 : 13,972.39 = 5,649.40 : x
  2. Step 2: Convert to fraction form
    10,126/13,972.39 = 5,649.40/x
  3. Step 3: Cross multiply
    10,126x = 13,972.39 × 5,649.40
  4. Step 4: Simplify right side
    10,126x = 78,935,620.07
  5. Step 5: Solve for x
    x = 78,935,620.07/10,126
  6. Step 6: Final answer
    x = 7,795.34

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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.