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Finding the Fourth Proportional to 8,569.75, 12,855.66 and 3,021.96

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Solution

The fourth proportional to 8,569.75, 12,855.66 and 3,021.96 is: 4,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.75 : 12,855.66 = 3,021.96 : x
  2. Step 2: Convert to fraction form
    8,569.75/12,855.66 = 3,021.96/x
  3. Step 3: Cross multiply
    8,569.75x = 12,855.66 × 3,021.96
  4. Step 4: Simplify right side
    8,569.75x = 38,849,290.29
  5. Step 5: Solve for x
    x = 38,849,290.29/8,569.75
  6. Step 6: Final answer
    x = 4,533.30

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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.