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Finding the Fourth Proportional to 10,807.85, 14,912.26 and 6,092.13

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Solution

The fourth proportional to 10,807.85, 14,912.26 and 6,092.13 is: 8,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.85 : 14,912.26 = 6,092.13 : x
  2. Step 2: Convert to fraction form
    10,807.85/14,912.26 = 6,092.13/x
  3. Step 3: Cross multiply
    10,807.85x = 14,912.26 × 6,092.13
  4. Step 4: Simplify right side
    10,807.85x = 90,847,426.51
  5. Step 5: Solve for x
    x = 90,847,426.51/10,807.85
  6. Step 6: Final answer
    x = 8,405.69

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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.