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Finding the Fourth Proportional to 7,097.39, 10,646.09 and 3,202.91

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Solution

The fourth proportional to 7,097.39, 10,646.09 and 3,202.91 is: 4,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.39 : 10,646.09 = 3,202.91 : x
  2. Step 2: Convert to fraction form
    7,097.39/10,646.09 = 3,202.91/x
  3. Step 3: Cross multiply
    7,097.39x = 10,646.09 × 3,202.91
  4. Step 4: Simplify right side
    7,097.39x = 34,098,452.11
  5. Step 5: Solve for x
    x = 34,098,452.11/7,097.39
  6. Step 6: Final answer
    x = 4,804.37

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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.