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Finding the Fourth Proportional to 11,808.46, 16,295.02 and 6,502.24

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Solution

The fourth proportional to 11,808.46, 16,295.02 and 6,502.24 is: 8,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.46 : 16,295.02 = 6,502.24 : x
  2. Step 2: Convert to fraction form
    11,808.46/16,295.02 = 6,502.24/x
  3. Step 3: Cross multiply
    11,808.46x = 16,295.02 × 6,502.24
  4. Step 4: Simplify right side
    11,808.46x = 105,954,130.84
  5. Step 5: Solve for x
    x = 105,954,130.84/11,808.46
  6. Step 6: Final answer
    x = 8,972.73

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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.