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Finding the Fourth Proportional to 7,327.63, 10,112.32 and 4,496.57

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Solution

The fourth proportional to 7,327.63, 10,112.32 and 4,496.57 is: 6,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327.63 : 10,112.32 = 4,496.57 : x
  2. Step 2: Convert to fraction form
    7,327.63/10,112.32 = 4,496.57/x
  3. Step 3: Cross multiply
    7,327.63x = 10,112.32 × 4,496.57
  4. Step 4: Simplify right side
    7,327.63x = 45,470,739.29
  5. Step 5: Solve for x
    x = 45,470,739.29/7,327.63
  6. Step 6: Final answer
    x = 6,205.38

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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.