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Finding the Fourth Proportional to 11,807.23, 16,294.44 and 6,501.97

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Solution

The fourth proportional to 11,807.23, 16,294.44 and 6,501.97 is: 8,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.23 : 16,294.44 = 6,501.97 : x
  2. Step 2: Convert to fraction form
    11,807.23/16,294.44 = 6,501.97/x
  3. Step 3: Cross multiply
    11,807.23x = 16,294.44 × 6,501.97
  4. Step 4: Simplify right side
    11,807.23x = 105,945,960.05
  5. Step 5: Solve for x
    x = 105,945,960.05/11,807.23
  6. Step 6: Final answer
    x = 8,972.97

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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.