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Finding the Fourth Proportional to 8,584.79, 12,871.71 and 4,201.07

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Solution

The fourth proportional to 8,584.79, 12,871.71 and 4,201.07 is: 6,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.79 : 12,871.71 = 4,201.07 : x
  2. Step 2: Convert to fraction form
    8,584.79/12,871.71 = 4,201.07/x
  3. Step 3: Cross multiply
    8,584.79x = 12,871.71 × 4,201.07
  4. Step 4: Simplify right side
    8,584.79x = 54,074,890.37
  5. Step 5: Solve for x
    x = 54,074,890.37/8,584.79
  6. Step 6: Final answer
    x = 6,298.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.