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Finding the Fourth Proportional to 7,552.62, 11,327.76 and 3,857.58

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Solution

The fourth proportional to 7,552.62, 11,327.76 and 3,857.58 is: 5,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.62 : 11,327.76 = 3,857.58 : x
  2. Step 2: Convert to fraction form
    7,552.62/11,327.76 = 3,857.58/x
  3. Step 3: Cross multiply
    7,552.62x = 11,327.76 × 3,857.58
  4. Step 4: Simplify right side
    7,552.62x = 43,697,740.42
  5. Step 5: Solve for x
    x = 43,697,740.42/7,552.62
  6. Step 6: Final answer
    x = 5,785.77

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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.