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Finding the Fourth Proportional to 8,569.71, 12,858.57 and 3,027.24

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Solution

The fourth proportional to 8,569.71, 12,858.57 and 3,027.24 is: 4,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.71 : 12,858.57 = 3,027.24 : x
  2. Step 2: Convert to fraction form
    8,569.71/12,858.57 = 3,027.24/x
  3. Step 3: Cross multiply
    8,569.71x = 12,858.57 × 3,027.24
  4. Step 4: Simplify right side
    8,569.71x = 38,925,977.45
  5. Step 5: Solve for x
    x = 38,925,977.45/8,569.71
  6. Step 6: Final answer
    x = 4,542.27

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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.