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Finding the Fourth Proportional to 7,695, 11,543.04 and 2,629.26

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Solution

The fourth proportional to 7,695, 11,543.04 and 2,629.26 is: 3,944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695 : 11,543.04 = 2,629.26 : x
  2. Step 2: Convert to fraction form
    7,695/11,543.04 = 2,629.26/x
  3. Step 3: Cross multiply
    7,695x = 11,543.04 × 2,629.26
  4. Step 4: Simplify right side
    7,695x = 30,349,653.35
  5. Step 5: Solve for x
    x = 30,349,653.35/7,695
  6. Step 6: Final answer
    x = 3,944.07

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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.