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Finding the Fourth Proportional to 7,944.57, 11,909.11 and 3,783.46

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Solution

The fourth proportional to 7,944.57, 11,909.11 and 3,783.46 is: 5,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.57 : 11,909.11 = 3,783.46 : x
  2. Step 2: Convert to fraction form
    7,944.57/11,909.11 = 3,783.46/x
  3. Step 3: Cross multiply
    7,944.57x = 11,909.11 × 3,783.46
  4. Step 4: Simplify right side
    7,944.57x = 45,057,641.32
  5. Step 5: Solve for x
    x = 45,057,641.32/7,944.57
  6. Step 6: Final answer
    x = 5,671.50

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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.