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Finding the Fourth Proportional to 7,561.42, 11,341.26 and 2,014.63

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Solution

The fourth proportional to 7,561.42, 11,341.26 and 2,014.63 is: 3,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.42 : 11,341.26 = 2,014.63 : x
  2. Step 2: Convert to fraction form
    7,561.42/11,341.26 = 2,014.63/x
  3. Step 3: Cross multiply
    7,561.42x = 11,341.26 × 2,014.63
  4. Step 4: Simplify right side
    7,561.42x = 22,848,414.28
  5. Step 5: Solve for x
    x = 22,848,414.28/7,561.42
  6. Step 6: Final answer
    x = 3,021.71

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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.