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Finding the Fourth Proportional to 7,562.42, 11,343.62 and 2,015.77

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Solution

The fourth proportional to 7,562.42, 11,343.62 and 2,015.77 is: 3,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.42 : 11,343.62 = 2,015.77 : x
  2. Step 2: Convert to fraction form
    7,562.42/11,343.62 = 2,015.77/x
  3. Step 3: Cross multiply
    7,562.42x = 11,343.62 × 2,015.77
  4. Step 4: Simplify right side
    7,562.42x = 22,866,062.09
  5. Step 5: Solve for x
    x = 22,866,062.09/7,562.42
  6. Step 6: Final answer
    x = 3,023.64

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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.