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Finding the Fourth Proportional to 11,801.48, 16,285.98 and 6,496.16

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Solution

The fourth proportional to 11,801.48, 16,285.98 and 6,496.16 is: 8,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.48 : 16,285.98 = 6,496.16 : x
  2. Step 2: Convert to fraction form
    11,801.48/16,285.98 = 6,496.16/x
  3. Step 3: Cross multiply
    11,801.48x = 16,285.98 × 6,496.16
  4. Step 4: Simplify right side
    11,801.48x = 105,796,331.84
  5. Step 5: Solve for x
    x = 105,796,331.84/11,801.48
  6. Step 6: Final answer
    x = 8,964.67

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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.