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Finding the Fourth Proportional to 11,808.24, 16,294.77 and 6,502.05

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Solution

The fourth proportional to 11,808.24, 16,294.77 and 6,502.05 is: 8,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.24 : 16,294.77 = 6,502.05 : x
  2. Step 2: Convert to fraction form
    11,808.24/16,294.77 = 6,502.05/x
  3. Step 3: Cross multiply
    11,808.24x = 16,294.77 × 6,502.05
  4. Step 4: Simplify right side
    11,808.24x = 105,949,409.28
  5. Step 5: Solve for x
    x = 105,949,409.28/11,808.24
  6. Step 6: Final answer
    x = 8,972.50

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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.