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Finding the Fourth Proportional to 7,864.62, 11,785.56 and 5,918.22

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Solution

The fourth proportional to 7,864.62, 11,785.56 and 5,918.22 is: 8,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.62 : 11,785.56 = 5,918.22 : x
  2. Step 2: Convert to fraction form
    7,864.62/11,785.56 = 5,918.22/x
  3. Step 3: Cross multiply
    7,864.62x = 11,785.56 × 5,918.22
  4. Step 4: Simplify right side
    7,864.62x = 69,749,536.90
  5. Step 5: Solve for x
    x = 69,749,536.90/7,864.62
  6. Step 6: Final answer
    x = 8,868.77

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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.