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Finding the Fourth Proportional to 11,807.97, 16,294.42 and 6,501.80

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Solution

The fourth proportional to 11,807.97, 16,294.42 and 6,501.80 is: 8,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.97 : 16,294.42 = 6,501.80 : x
  2. Step 2: Convert to fraction form
    11,807.97/16,294.42 = 6,501.80/x
  3. Step 3: Cross multiply
    11,807.97x = 16,294.42 × 6,501.80
  4. Step 4: Simplify right side
    11,807.97x = 105,943,059.96
  5. Step 5: Solve for x
    x = 105,943,059.96/11,807.97
  6. Step 6: Final answer
    x = 8,972.17

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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.