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Finding the Fourth Proportional to 7,027.70, 10,543.14 and 2,097.15

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Solution

The fourth proportional to 7,027.70, 10,543.14 and 2,097.15 is: 3,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.70 : 10,543.14 = 2,097.15 : x
  2. Step 2: Convert to fraction form
    7,027.70/10,543.14 = 2,097.15/x
  3. Step 3: Cross multiply
    7,027.70x = 10,543.14 × 2,097.15
  4. Step 4: Simplify right side
    7,027.70x = 22,110,546.05
  5. Step 5: Solve for x
    x = 22,110,546.05/7,027.70
  6. Step 6: Final answer
    x = 3,146.20

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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.