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Finding the Fourth Proportional to 7,097.98, 10,646.98 and 2,167.64

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Solution

The fourth proportional to 7,097.98, 10,646.98 and 2,167.64 is: 3,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.98 : 10,646.98 = 2,167.64 : x
  2. Step 2: Convert to fraction form
    7,097.98/10,646.98 = 2,167.64/x
  3. Step 3: Cross multiply
    7,097.98x = 10,646.98 × 2,167.64
  4. Step 4: Simplify right side
    7,097.98x = 23,078,819.73
  5. Step 5: Solve for x
    x = 23,078,819.73/7,097.98
  6. Step 6: Final answer
    x = 3,251.46

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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.