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Finding the Fourth Proportional to 10,809.84, 14,918.22 and 6,094.56

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Solution

The fourth proportional to 10,809.84, 14,918.22 and 6,094.56 is: 8,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.84 : 14,918.22 = 6,094.56 : x
  2. Step 2: Convert to fraction form
    10,809.84/14,918.22 = 6,094.56/x
  3. Step 3: Cross multiply
    10,809.84x = 14,918.22 × 6,094.56
  4. Step 4: Simplify right side
    10,809.84x = 90,919,986.88
  5. Step 5: Solve for x
    x = 90,919,986.88/10,809.84
  6. Step 6: Final answer
    x = 8,410.85

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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.