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Finding the Fourth Proportional to 7,657.65, 11,477.21 and 3,491.96

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Solution

The fourth proportional to 7,657.65, 11,477.21 and 3,491.96 is: 5,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.65 : 11,477.21 = 3,491.96 : x
  2. Step 2: Convert to fraction form
    7,657.65/11,477.21 = 3,491.96/x
  3. Step 3: Cross multiply
    7,657.65x = 11,477.21 × 3,491.96
  4. Step 4: Simplify right side
    7,657.65x = 40,077,883.39
  5. Step 5: Solve for x
    x = 40,077,883.39/7,657.65
  6. Step 6: Final answer
    x = 5,233.71

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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.