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Finding the Fourth Proportional to 8,649.59, 12,966.18 and 2,802.09

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Solution

The fourth proportional to 8,649.59, 12,966.18 and 2,802.09 is: 4,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.59 : 12,966.18 = 2,802.09 : x
  2. Step 2: Convert to fraction form
    8,649.59/12,966.18 = 2,802.09/x
  3. Step 3: Cross multiply
    8,649.59x = 12,966.18 × 2,802.09
  4. Step 4: Simplify right side
    8,649.59x = 36,332,441.43
  5. Step 5: Solve for x
    x = 36,332,441.43/8,649.59
  6. Step 6: Final answer
    x = 4,200.48

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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.