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Finding the Fourth Proportional to 7,027.97, 10,543.47 and 2,098.00

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Solution

The fourth proportional to 7,027.97, 10,543.47 and 2,098.00 is: 3,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.97 : 10,543.47 = 2,098.00 : x
  2. Step 2: Convert to fraction form
    7,027.97/10,543.47 = 2,098.00/x
  3. Step 3: Cross multiply
    7,027.97x = 10,543.47 × 2,098.00
  4. Step 4: Simplify right side
    7,027.97x = 22,120,205.37
  5. Step 5: Solve for x
    x = 22,120,205.37/7,027.97
  6. Step 6: Final answer
    x = 3,147.46

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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.