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Finding the Fourth Proportional to 7,027.40, 10,542.80 and 2,097.43

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Solution

The fourth proportional to 7,027.40, 10,542.80 and 2,097.43 is: 3,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.40 : 10,542.80 = 2,097.43 : x
  2. Step 2: Convert to fraction form
    7,027.40/10,542.80 = 2,097.43/x
  3. Step 3: Cross multiply
    7,027.40x = 10,542.80 × 2,097.43
  4. Step 4: Simplify right side
    7,027.40x = 22,112,785.00
  5. Step 5: Solve for x
    x = 22,112,785.00/7,027.40
  6. Step 6: Final answer
    x = 3,146.65

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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.