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Finding the Fourth Proportional to 10,026.94, 13,836.22 and 6,790.17

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Solution

The fourth proportional to 10,026.94, 13,836.22 and 6,790.17 is: 9,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.94 : 13,836.22 = 6,790.17 : x
  2. Step 2: Convert to fraction form
    10,026.94/13,836.22 = 6,790.17/x
  3. Step 3: Cross multiply
    10,026.94x = 13,836.22 × 6,790.17
  4. Step 4: Simplify right side
    10,026.94x = 93,950,285.96
  5. Step 5: Solve for x
    x = 93,950,285.96/10,026.94
  6. Step 6: Final answer
    x = 9,369.79

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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.