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Finding the Fourth Proportional to 11,464.24, 15,820.20 and 6,496.24

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Solution

The fourth proportional to 11,464.24, 15,820.20 and 6,496.24 is: 8,964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.24 : 15,820.20 = 6,496.24 : x
  2. Step 2: Convert to fraction form
    11,464.24/15,820.20 = 6,496.24/x
  3. Step 3: Cross multiply
    11,464.24x = 15,820.20 × 6,496.24
  4. Step 4: Simplify right side
    11,464.24x = 102,771,816.05
  5. Step 5: Solve for x
    x = 102,771,816.05/11,464.24
  6. Step 6: Final answer
    x = 8,964.56

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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.