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Finding the Fourth Proportional to 8,569.21, 12,853.04 and 3,022.27

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Solution

The fourth proportional to 8,569.21, 12,853.04 and 3,022.27 is: 4,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.21 : 12,853.04 = 3,022.27 : x
  2. Step 2: Convert to fraction form
    8,569.21/12,853.04 = 3,022.27/x
  3. Step 3: Cross multiply
    8,569.21x = 12,853.04 × 3,022.27
  4. Step 4: Simplify right side
    8,569.21x = 38,845,357.20
  5. Step 5: Solve for x
    x = 38,845,357.20/8,569.21
  6. Step 6: Final answer
    x = 4,533.13

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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.