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Finding the Fourth Proportional to 10,436.89, 14,404.35 and 5,961.07

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Solution

The fourth proportional to 10,436.89, 14,404.35 and 5,961.07 is: 8,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.89 : 14,404.35 = 5,961.07 : x
  2. Step 2: Convert to fraction form
    10,436.89/14,404.35 = 5,961.07/x
  3. Step 3: Cross multiply
    10,436.89x = 14,404.35 × 5,961.07
  4. Step 4: Simplify right side
    10,436.89x = 85,865,338.65
  5. Step 5: Solve for x
    x = 85,865,338.65/10,436.89
  6. Step 6: Final answer
    x = 8,227.10

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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.