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Finding the Fourth Proportional to 7,698.24, 11,546.75 and 3,750.71

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Solution

The fourth proportional to 7,698.24, 11,546.75 and 3,750.71 is: 5,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.24 : 11,546.75 = 3,750.71 : x
  2. Step 2: Convert to fraction form
    7,698.24/11,546.75 = 3,750.71/x
  3. Step 3: Cross multiply
    7,698.24x = 11,546.75 × 3,750.71
  4. Step 4: Simplify right side
    7,698.24x = 43,308,462.34
  5. Step 5: Solve for x
    x = 43,308,462.34/7,698.24
  6. Step 6: Final answer
    x = 5,625.76

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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.