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Finding the Fourth Proportional to 8,498.01, 11,727 and 4,772.01

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Solution

The fourth proportional to 8,498.01, 11,727 and 4,772.01 is: 6,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.01 : 11,727 = 4,772.01 : x
  2. Step 2: Convert to fraction form
    8,498.01/11,727 = 4,772.01/x
  3. Step 3: Cross multiply
    8,498.01x = 11,727 × 4,772.01
  4. Step 4: Simplify right side
    8,498.01x = 55,961,361.27
  5. Step 5: Solve for x
    x = 55,961,361.27/8,498.01
  6. Step 6: Final answer
    x = 6,585.23

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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.