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Finding the Fourth Proportional to 8,549.20, 12,802.20 and 6,821.20

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Solution

The fourth proportional to 8,549.20, 12,802.20 and 6,821.20 is: 10,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.20 : 12,802.20 = 6,821.20 : x
  2. Step 2: Convert to fraction form
    8,549.20/12,802.20 = 6,821.20/x
  3. Step 3: Cross multiply
    8,549.20x = 12,802.20 × 6,821.20
  4. Step 4: Simplify right side
    8,549.20x = 87,326,366.64
  5. Step 5: Solve for x
    x = 87,326,366.64/8,549.20
  6. Step 6: Final answer
    x = 10,214.57

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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.