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Finding the Fourth Proportional to 10,594.97, 15,896.63 and 4,022.90

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Solution

The fourth proportional to 10,594.97, 15,896.63 and 4,022.90 is: 6,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.97 : 15,896.63 = 4,022.90 : x
  2. Step 2: Convert to fraction form
    10,594.97/15,896.63 = 4,022.90/x
  3. Step 3: Cross multiply
    10,594.97x = 15,896.63 × 4,022.90
  4. Step 4: Simplify right side
    10,594.97x = 63,950,552.83
  5. Step 5: Solve for x
    x = 63,950,552.83/10,594.97
  6. Step 6: Final answer
    x = 6,035.94

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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.