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Finding the Fourth Proportional to 10,578.35, 14,591.49 and 6,806.42

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Solution

The fourth proportional to 10,578.35, 14,591.49 and 6,806.42 is: 9,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.35 : 14,591.49 = 6,806.42 : x
  2. Step 2: Convert to fraction form
    10,578.35/14,591.49 = 6,806.42/x
  3. Step 3: Cross multiply
    10,578.35x = 14,591.49 × 6,806.42
  4. Step 4: Simplify right side
    10,578.35x = 99,315,809.37
  5. Step 5: Solve for x
    x = 99,315,809.37/10,578.35
  6. Step 6: Final answer
    x = 9,388.59

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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.