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Finding the Fourth Proportional to 8,249.51, 11,384.91 and 4,712.64

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Solution

The fourth proportional to 8,249.51, 11,384.91 and 4,712.64 is: 6,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.51 : 11,384.91 = 4,712.64 : x
  2. Step 2: Convert to fraction form
    8,249.51/11,384.91 = 4,712.64/x
  3. Step 3: Cross multiply
    8,249.51x = 11,384.91 × 4,712.64
  4. Step 4: Simplify right side
    8,249.51x = 53,652,982.26
  5. Step 5: Solve for x
    x = 53,652,982.26/8,249.51
  6. Step 6: Final answer
    x = 6,503.78

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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.