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Finding the Fourth Proportional to 7,993.64, 11,031.23 and 4,456.78

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Solution

The fourth proportional to 7,993.64, 11,031.23 and 4,456.78 is: 6,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.64 : 11,031.23 = 4,456.78 : x
  2. Step 2: Convert to fraction form
    7,993.64/11,031.23 = 4,456.78/x
  3. Step 3: Cross multiply
    7,993.64x = 11,031.23 × 4,456.78
  4. Step 4: Simplify right side
    7,993.64x = 49,163,765.24
  5. Step 5: Solve for x
    x = 49,163,765.24/7,993.64
  6. Step 6: Final answer
    x = 6,150.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.