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Finding the Fourth Proportional to 10,850.88, 14,976.90 and 6,137.94

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Solution

The fourth proportional to 10,850.88, 14,976.90 and 6,137.94 is: 8,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.88 : 14,976.90 = 6,137.94 : x
  2. Step 2: Convert to fraction form
    10,850.88/14,976.90 = 6,137.94/x
  3. Step 3: Cross multiply
    10,850.88x = 14,976.90 × 6,137.94
  4. Step 4: Simplify right side
    10,850.88x = 91,927,313.59
  5. Step 5: Solve for x
    x = 91,927,313.59/10,850.88
  6. Step 6: Final answer
    x = 8,471.88

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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.