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Finding the Fourth Proportional to 10,443.99, 14,410.65 and 6,194.25

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Solution

The fourth proportional to 10,443.99, 14,410.65 and 6,194.25 is: 8,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.99 : 14,410.65 = 6,194.25 : x
  2. Step 2: Convert to fraction form
    10,443.99/14,410.65 = 6,194.25/x
  3. Step 3: Cross multiply
    10,443.99x = 14,410.65 × 6,194.25
  4. Step 4: Simplify right side
    10,443.99x = 89,263,168.76
  5. Step 5: Solve for x
    x = 89,263,168.76/10,443.99
  6. Step 6: Final answer
    x = 8,546.85

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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.