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Finding the Fourth Proportional to 8,568.81, 12,853.14 and 3,021.48

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Solution

The fourth proportional to 8,568.81, 12,853.14 and 3,021.48 is: 4,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.81 : 12,853.14 = 3,021.48 : x
  2. Step 2: Convert to fraction form
    8,568.81/12,853.14 = 3,021.48/x
  3. Step 3: Cross multiply
    8,568.81x = 12,853.14 × 3,021.48
  4. Step 4: Simplify right side
    8,568.81x = 38,835,505.45
  5. Step 5: Solve for x
    x = 38,835,505.45/8,568.81
  6. Step 6: Final answer
    x = 4,532.19

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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.