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Finding the Fourth Proportional to 8,569.74, 12,854.70 and 3,022.05

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Solution

The fourth proportional to 8,569.74, 12,854.70 and 3,022.05 is: 4,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.74 : 12,854.70 = 3,022.05 : x
  2. Step 2: Convert to fraction form
    8,569.74/12,854.70 = 3,022.05/x
  3. Step 3: Cross multiply
    8,569.74x = 12,854.70 × 3,022.05
  4. Step 4: Simplify right side
    8,569.74x = 38,847,546.14
  5. Step 5: Solve for x
    x = 38,847,546.14/8,569.74
  6. Step 6: Final answer
    x = 4,533.11

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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.