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Finding the Fourth Proportional to 8,596, 11,863.44 and 4,871.20

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Solution

The fourth proportional to 8,596, 11,863.44 and 4,871.20 is: 6,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596 : 11,863.44 = 4,871.20 : x
  2. Step 2: Convert to fraction form
    8,596/11,863.44 = 4,871.20/x
  3. Step 3: Cross multiply
    8,596x = 11,863.44 × 4,871.20
  4. Step 4: Simplify right side
    8,596x = 57,789,188.93
  5. Step 5: Solve for x
    x = 57,789,188.93/8,596
  6. Step 6: Final answer
    x = 6,722.80

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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.