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Finding the Fourth Proportional to 7,697.16, 11,536.63 and 3,533.66

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Solution

The fourth proportional to 7,697.16, 11,536.63 and 3,533.66 is: 5,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.16 : 11,536.63 = 3,533.66 : x
  2. Step 2: Convert to fraction form
    7,697.16/11,536.63 = 3,533.66/x
  3. Step 3: Cross multiply
    7,697.16x = 11,536.63 × 3,533.66
  4. Step 4: Simplify right side
    7,697.16x = 40,766,527.97
  5. Step 5: Solve for x
    x = 40,766,527.97/7,697.16
  6. Step 6: Final answer
    x = 5,296.31

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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.