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Finding the Fourth Proportional to 7,097.16, 10,643.88 and 2,166.27

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Solution

The fourth proportional to 7,097.16, 10,643.88 and 2,166.27 is: 3,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.16 : 10,643.88 = 2,166.27 : x
  2. Step 2: Convert to fraction form
    7,097.16/10,643.88 = 2,166.27/x
  3. Step 3: Cross multiply
    7,097.16x = 10,643.88 × 2,166.27
  4. Step 4: Simplify right side
    7,097.16x = 23,057,517.93
  5. Step 5: Solve for x
    x = 23,057,517.93/7,097.16
  6. Step 6: Final answer
    x = 3,248.84

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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.