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Finding the Fourth Proportional to 7,122.96, 10,688.09 and 3,226.86

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Solution

The fourth proportional to 7,122.96, 10,688.09 and 3,226.86 is: 4,841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.96 : 10,688.09 = 3,226.86 : x
  2. Step 2: Convert to fraction form
    7,122.96/10,688.09 = 3,226.86/x
  3. Step 3: Cross multiply
    7,122.96x = 10,688.09 × 3,226.86
  4. Step 4: Simplify right side
    7,122.96x = 34,488,953.96
  5. Step 5: Solve for x
    x = 34,488,953.96/7,122.96
  6. Step 6: Final answer
    x = 4,841.94

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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.