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Finding the Fourth Proportional to 7,561.96, 10,434.72 and 4,204.44

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Solution

The fourth proportional to 7,561.96, 10,434.72 and 4,204.44 is: 5,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.96 : 10,434.72 = 4,204.44 : x
  2. Step 2: Convert to fraction form
    7,561.96/10,434.72 = 4,204.44/x
  3. Step 3: Cross multiply
    7,561.96x = 10,434.72 × 4,204.44
  4. Step 4: Simplify right side
    7,561.96x = 43,872,169.92
  5. Step 5: Solve for x
    x = 43,872,169.92/7,561.96
  6. Step 6: Final answer
    x = 5,801.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.