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Finding the Fourth Proportional to 7,632.78, 11,449.08 and 4,301.28

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Solution

The fourth proportional to 7,632.78, 11,449.08 and 4,301.28 is: 6,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.78 : 11,449.08 = 4,301.28 : x
  2. Step 2: Convert to fraction form
    7,632.78/11,449.08 = 4,301.28/x
  3. Step 3: Cross multiply
    7,632.78x = 11,449.08 × 4,301.28
  4. Step 4: Simplify right side
    7,632.78x = 49,245,698.82
  5. Step 5: Solve for x
    x = 49,245,698.82/7,632.78
  6. Step 6: Final answer
    x = 6,451.87

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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.