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Finding the Fourth Proportional to 10,522.58, 15,768.83 and 7,727.32

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Solution

The fourth proportional to 10,522.58, 15,768.83 and 7,727.32 is: 11,579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.58 : 15,768.83 = 7,727.32 : x
  2. Step 2: Convert to fraction form
    10,522.58/15,768.83 = 7,727.32/x
  3. Step 3: Cross multiply
    10,522.58x = 15,768.83 × 7,727.32
  4. Step 4: Simplify right side
    10,522.58x = 121,850,795.44
  5. Step 5: Solve for x
    x = 121,850,795.44/10,522.58
  6. Step 6: Final answer
    x = 11,579.94

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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.