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Finding the Fourth Proportional to 10,910.70, 16,341.44 and 5,055

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Solution

The fourth proportional to 10,910.70, 16,341.44 and 5,055 is: 7,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.70 : 16,341.44 = 5,055 : x
  2. Step 2: Convert to fraction form
    10,910.70/16,341.44 = 5,055/x
  3. Step 3: Cross multiply
    10,910.70x = 16,341.44 × 5,055
  4. Step 4: Simplify right side
    10,910.70x = 82,605,953.93
  5. Step 5: Solve for x
    x = 82,605,953.93/10,910.70
  6. Step 6: Final answer
    x = 7,571.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.