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Finding the Fourth Proportional to 11,776.70, 16,252.20 and 6,471.50

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Solution

The fourth proportional to 11,776.70, 16,252.20 and 6,471.50 is: 8,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.70 : 16,252.20 = 6,471.50 : x
  2. Step 2: Convert to fraction form
    11,776.70/16,252.20 = 6,471.50/x
  3. Step 3: Cross multiply
    11,776.70x = 16,252.20 × 6,471.50
  4. Step 4: Simplify right side
    11,776.70x = 105,176,112.30
  5. Step 5: Solve for x
    x = 105,176,112.30/11,776.70
  6. Step 6: Final answer
    x = 8,930.86

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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.