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Finding the Fourth Proportional to 7,197.39, 10,802.78 and 3,689.93

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Solution

The fourth proportional to 7,197.39, 10,802.78 and 3,689.93 is: 5,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.39 : 10,802.78 = 3,689.93 : x
  2. Step 2: Convert to fraction form
    7,197.39/10,802.78 = 3,689.93/x
  3. Step 3: Cross multiply
    7,197.39x = 10,802.78 × 3,689.93
  4. Step 4: Simplify right side
    7,197.39x = 39,861,429.54
  5. Step 5: Solve for x
    x = 39,861,429.54/7,197.39
  6. Step 6: Final answer
    x = 5,538.32

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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.