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Finding the Fourth Proportional to 10,293.82, 14,206.07 and 5,817.45

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Solution

The fourth proportional to 10,293.82, 14,206.07 and 5,817.45 is: 8,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.82 : 14,206.07 = 5,817.45 : x
  2. Step 2: Convert to fraction form
    10,293.82/14,206.07 = 5,817.45/x
  3. Step 3: Cross multiply
    10,293.82x = 14,206.07 × 5,817.45
  4. Step 4: Simplify right side
    10,293.82x = 82,643,101.92
  5. Step 5: Solve for x
    x = 82,643,101.92/10,293.82
  6. Step 6: Final answer
    x = 8,028.42

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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.