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Finding the Fourth Proportional to 10,808.94, 14,914.43 and 6,093.23

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Solution

The fourth proportional to 10,808.94, 14,914.43 and 6,093.23 is: 8,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.94 : 14,914.43 = 6,093.23 : x
  2. Step 2: Convert to fraction form
    10,808.94/14,914.43 = 6,093.23/x
  3. Step 3: Cross multiply
    10,808.94x = 14,914.43 × 6,093.23
  4. Step 4: Simplify right side
    10,808.94x = 90,876,970.12
  5. Step 5: Solve for x
    x = 90,876,970.12/10,808.94
  6. Step 6: Final answer
    x = 8,407.57

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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.