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Finding the Fourth Proportional to 7,096.82, 10,642.64 and 2,097.70

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Solution

The fourth proportional to 7,096.82, 10,642.64 and 2,097.70 is: 3,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.82 : 10,642.64 = 2,097.70 : x
  2. Step 2: Convert to fraction form
    7,096.82/10,642.64 = 2,097.70/x
  3. Step 3: Cross multiply
    7,096.82x = 10,642.64 × 2,097.70
  4. Step 4: Simplify right side
    7,096.82x = 22,325,040.63
  5. Step 5: Solve for x
    x = 22,325,040.63/7,096.82
  6. Step 6: Final answer
    x = 3,145.78

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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.