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Finding the Fourth Proportional to 7,922.36, 11,875.70 and 3,755

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Solution

The fourth proportional to 7,922.36, 11,875.70 and 3,755 is: 5,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.36 : 11,875.70 = 3,755 : x
  2. Step 2: Convert to fraction form
    7,922.36/11,875.70 = 3,755/x
  3. Step 3: Cross multiply
    7,922.36x = 11,875.70 × 3,755
  4. Step 4: Simplify right side
    7,922.36x = 44,593,253.50
  5. Step 5: Solve for x
    x = 44,593,253.50/7,922.36
  6. Step 6: Final answer
    x = 5,628.78

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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.