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Finding the Fourth Proportional to 7,612.20, 10,506.84 and 6,824.88

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Solution

The fourth proportional to 7,612.20, 10,506.84 and 6,824.88 is: 9,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.20 : 10,506.84 = 6,824.88 : x
  2. Step 2: Convert to fraction form
    7,612.20/10,506.84 = 6,824.88/x
  3. Step 3: Cross multiply
    7,612.20x = 10,506.84 × 6,824.88
  4. Step 4: Simplify right side
    7,612.20x = 71,707,922.18
  5. Step 5: Solve for x
    x = 71,707,922.18/7,612.20
  6. Step 6: Final answer
    x = 9,420.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.