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Finding the Fourth Proportional to 7,806.35, 11,711.25 and 3,644.09

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Solution

The fourth proportional to 7,806.35, 11,711.25 and 3,644.09 is: 5,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.35 : 11,711.25 = 3,644.09 : x
  2. Step 2: Convert to fraction form
    7,806.35/11,711.25 = 3,644.09/x
  3. Step 3: Cross multiply
    7,806.35x = 11,711.25 × 3,644.09
  4. Step 4: Simplify right side
    7,806.35x = 42,676,848.04
  5. Step 5: Solve for x
    x = 42,676,848.04/7,806.35
  6. Step 6: Final answer
    x = 5,466.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.