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Finding the Fourth Proportional to 10,806.54, 14,914.23 and 6,334.08

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Solution

The fourth proportional to 10,806.54, 14,914.23 and 6,334.08 is: 8,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.54 : 14,914.23 = 6,334.08 : x
  2. Step 2: Convert to fraction form
    10,806.54/14,914.23 = 6,334.08/x
  3. Step 3: Cross multiply
    10,806.54x = 14,914.23 × 6,334.08
  4. Step 4: Simplify right side
    10,806.54x = 94,467,899.72
  5. Step 5: Solve for x
    x = 94,467,899.72/10,806.54
  6. Step 6: Final answer
    x = 8,741.73

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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.