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Finding the Fourth Proportional to 11,807.94, 16,294.26 and 6,501.72

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Solution

The fourth proportional to 11,807.94, 16,294.26 and 6,501.72 is: 8,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.94 : 16,294.26 = 6,501.72 : x
  2. Step 2: Convert to fraction form
    11,807.94/16,294.26 = 6,501.72/x
  3. Step 3: Cross multiply
    11,807.94x = 16,294.26 × 6,501.72
  4. Step 4: Simplify right side
    11,807.94x = 105,940,716.13
  5. Step 5: Solve for x
    x = 105,940,716.13/11,807.94
  6. Step 6: Final answer
    x = 8,971.99

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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.