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Finding the Fourth Proportional to 7,765.44, 11,642.49 and 4,995.24

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Solution

The fourth proportional to 7,765.44, 11,642.49 and 4,995.24 is: 7,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.44 : 11,642.49 = 4,995.24 : x
  2. Step 2: Convert to fraction form
    7,765.44/11,642.49 = 4,995.24/x
  3. Step 3: Cross multiply
    7,765.44x = 11,642.49 × 4,995.24
  4. Step 4: Simplify right side
    7,765.44x = 58,157,031.75
  5. Step 5: Solve for x
    x = 58,157,031.75/7,765.44
  6. Step 6: Final answer
    x = 7,489.21

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