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Finding the Fourth Proportional to 8,660.93, 11,942.24 and 7,065.83

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Solution

The fourth proportional to 8,660.93, 11,942.24 and 7,065.83 is: 9,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,660.93 : 11,942.24 = 7,065.83 : x
  2. Step 2: Convert to fraction form
    8,660.93/11,942.24 = 7,065.83/x
  3. Step 3: Cross multiply
    8,660.93x = 11,942.24 × 7,065.83
  4. Step 4: Simplify right side
    8,660.93x = 84,381,832.19
  5. Step 5: Solve for x
    x = 84,381,832.19/8,660.93
  6. Step 6: Final answer
    x = 9,742.82

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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.