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Finding the Fourth Proportional to 11,808.27, 16,295.49 and 6,502.95

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Solution

The fourth proportional to 11,808.27, 16,295.49 and 6,502.95 is: 8,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.27 : 16,295.49 = 6,502.95 : x
  2. Step 2: Convert to fraction form
    11,808.27/16,295.49 = 6,502.95/x
  3. Step 3: Cross multiply
    11,808.27x = 16,295.49 × 6,502.95
  4. Step 4: Simplify right side
    11,808.27x = 105,968,756.70
  5. Step 5: Solve for x
    x = 105,968,756.70/11,808.27
  6. Step 6: Final answer
    x = 8,974.11

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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.