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Finding the Fourth Proportional to 6,981.62, 10,468.37 and 2,818.22

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Solution

The fourth proportional to 6,981.62, 10,468.37 and 2,818.22 is: 4,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.62 : 10,468.37 = 2,818.22 : x
  2. Step 2: Convert to fraction form
    6,981.62/10,468.37 = 2,818.22/x
  3. Step 3: Cross multiply
    6,981.62x = 10,468.37 × 2,818.22
  4. Step 4: Simplify right side
    6,981.62x = 29,502,124.41
  5. Step 5: Solve for x
    x = 29,502,124.41/6,981.62
  6. Step 6: Final answer
    x = 4,225.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.