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Finding the Fourth Proportional to 11,808.17, 16,295.27 and 6,502.94

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Solution

The fourth proportional to 11,808.17, 16,295.27 and 6,502.94 is: 8,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.17 : 16,295.27 = 6,502.94 : x
  2. Step 2: Convert to fraction form
    11,808.17/16,295.27 = 6,502.94/x
  3. Step 3: Cross multiply
    11,808.17x = 16,295.27 × 6,502.94
  4. Step 4: Simplify right side
    11,808.17x = 105,967,163.09
  5. Step 5: Solve for x
    x = 105,967,163.09/11,808.17
  6. Step 6: Final answer
    x = 8,974.05

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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.