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Finding the Fourth Proportional to 7,690.50, 11,536.56 and 3,529.80

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Solution

The fourth proportional to 7,690.50, 11,536.56 and 3,529.80 is: 5,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.50 : 11,536.56 = 3,529.80 : x
  2. Step 2: Convert to fraction form
    7,690.50/11,536.56 = 3,529.80/x
  3. Step 3: Cross multiply
    7,690.50x = 11,536.56 × 3,529.80
  4. Step 4: Simplify right side
    7,690.50x = 40,721,749.49
  5. Step 5: Solve for x
    x = 40,721,749.49/7,690.50
  6. Step 6: Final answer
    x = 5,295.07

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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.