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Finding the Fourth Proportional to 4,924.96, 6,786.66 and 4,863.64

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Solution

The fourth proportional to 4,924.96, 6,786.66 and 4,863.64 is: 6,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.96 : 6,786.66 = 4,863.64 : x
  2. Step 2: Convert to fraction form
    4,924.96/6,786.66 = 4,863.64/x
  3. Step 3: Cross multiply
    4,924.96x = 6,786.66 × 4,863.64
  4. Step 4: Simplify right side
    4,924.96x = 33,007,871.04
  5. Step 5: Solve for x
    x = 33,007,871.04/4,924.96
  6. Step 6: Final answer
    x = 6,702.16

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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.