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Finding the Fourth Proportional to 8,016, 11,062.08 and 4,871.60

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Solution

The fourth proportional to 8,016, 11,062.08 and 4,871.60 is: 6,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016 : 11,062.08 = 4,871.60 : x
  2. Step 2: Convert to fraction form
    8,016/11,062.08 = 4,871.60/x
  3. Step 3: Cross multiply
    8,016x = 11,062.08 × 4,871.60
  4. Step 4: Simplify right side
    8,016x = 53,890,028.93
  5. Step 5: Solve for x
    x = 53,890,028.93/8,016
  6. Step 6: Final answer
    x = 6,722.81

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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.