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Finding the Fourth Proportional to 8,249.64, 11,383.80 and 4,712.16

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Solution

The fourth proportional to 8,249.64, 11,383.80 and 4,712.16 is: 6,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.64 : 11,383.80 = 4,712.16 : x
  2. Step 2: Convert to fraction form
    8,249.64/11,383.80 = 4,712.16/x
  3. Step 3: Cross multiply
    8,249.64x = 11,383.80 × 4,712.16
  4. Step 4: Simplify right side
    8,249.64x = 53,642,287.01
  5. Step 5: Solve for x
    x = 53,642,287.01/8,249.64
  6. Step 6: Final answer
    x = 6,502.38

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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.