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Finding the Fourth Proportional to 11,665.14, 16,098.06 and 6,359.95

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Solution

The fourth proportional to 11,665.14, 16,098.06 and 6,359.95 is: 8,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.14 : 16,098.06 = 6,359.95 : x
  2. Step 2: Convert to fraction form
    11,665.14/16,098.06 = 6,359.95/x
  3. Step 3: Cross multiply
    11,665.14x = 16,098.06 × 6,359.95
  4. Step 4: Simplify right side
    11,665.14x = 102,382,856.70
  5. Step 5: Solve for x
    x = 102,382,856.70/11,665.14
  6. Step 6: Final answer
    x = 8,776.82

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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.