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Finding the Fourth Proportional to 7,552.64, 11,336.02 and 3,857.52

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Solution

The fourth proportional to 7,552.64, 11,336.02 and 3,857.52 is: 5,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.64 : 11,336.02 = 3,857.52 : x
  2. Step 2: Convert to fraction form
    7,552.64/11,336.02 = 3,857.52/x
  3. Step 3: Cross multiply
    7,552.64x = 11,336.02 × 3,857.52
  4. Step 4: Simplify right side
    7,552.64x = 43,728,956.74
  5. Step 5: Solve for x
    x = 43,728,956.74/7,552.64
  6. Step 6: Final answer
    x = 5,789.89

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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.