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Finding the Fourth Proportional to 7,768.35, 11,644.32 and 5,575.89

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Solution

The fourth proportional to 7,768.35, 11,644.32 and 5,575.89 is: 8,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.35 : 11,644.32 = 5,575.89 : x
  2. Step 2: Convert to fraction form
    7,768.35/11,644.32 = 5,575.89/x
  3. Step 3: Cross multiply
    7,768.35x = 11,644.32 × 5,575.89
  4. Step 4: Simplify right side
    7,768.35x = 64,927,447.44
  5. Step 5: Solve for x
    x = 64,927,447.44/7,768.35
  6. Step 6: Final answer
    x = 8,357.95

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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.