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Finding the Fourth Proportional to 7,109.42, 10,664.13 and 3,644.46

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Solution

The fourth proportional to 7,109.42, 10,664.13 and 3,644.46 is: 5,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.42 : 10,664.13 = 3,644.46 : x
  2. Step 2: Convert to fraction form
    7,109.42/10,664.13 = 3,644.46/x
  3. Step 3: Cross multiply
    7,109.42x = 10,664.13 × 3,644.46
  4. Step 4: Simplify right side
    7,109.42x = 38,864,995.22
  5. Step 5: Solve for x
    x = 38,864,995.22/7,109.42
  6. Step 6: Final answer
    x = 5,466.69

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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.