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Finding the Fourth Proportional to 8,264.64, 11,404.50 and 4,727.16

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Solution

The fourth proportional to 8,264.64, 11,404.50 and 4,727.16 is: 6,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.64 : 11,404.50 = 4,727.16 : x
  2. Step 2: Convert to fraction form
    8,264.64/11,404.50 = 4,727.16/x
  3. Step 3: Cross multiply
    8,264.64x = 11,404.50 × 4,727.16
  4. Step 4: Simplify right side
    8,264.64x = 53,910,896.22
  5. Step 5: Solve for x
    x = 53,910,896.22/8,264.64
  6. Step 6: Final answer
    x = 6,523.08

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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.