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Finding the Fourth Proportional to 7,097.34, 10,636.17 and 3,976.86

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Solution

The fourth proportional to 7,097.34, 10,636.17 and 3,976.86 is: 5,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.34 : 10,636.17 = 3,976.86 : x
  2. Step 2: Convert to fraction form
    7,097.34/10,636.17 = 3,976.86/x
  3. Step 3: Cross multiply
    7,097.34x = 10,636.17 × 3,976.86
  4. Step 4: Simplify right side
    7,097.34x = 42,298,559.03
  5. Step 5: Solve for x
    x = 42,298,559.03/7,097.34
  6. Step 6: Final answer
    x = 5,959.78

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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.