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Finding the Fourth Proportional to 7,397.82, 10,198.98 and 5,806.17

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Solution

The fourth proportional to 7,397.82, 10,198.98 and 5,806.17 is: 8,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397.82 : 10,198.98 = 5,806.17 : x
  2. Step 2: Convert to fraction form
    7,397.82/10,198.98 = 5,806.17/x
  3. Step 3: Cross multiply
    7,397.82x = 10,198.98 × 5,806.17
  4. Step 4: Simplify right side
    7,397.82x = 59,217,011.71
  5. Step 5: Solve for x
    x = 59,217,011.71/7,397.82
  6. Step 6: Final answer
    x = 8,004.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.