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Finding the Fourth Proportional to 7,864.02, 10,853.82 and 5,972.22

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Solution

The fourth proportional to 7,864.02, 10,853.82 and 5,972.22 is: 8,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.02 : 10,853.82 = 5,972.22 : x
  2. Step 2: Convert to fraction form
    7,864.02/10,853.82 = 5,972.22/x
  3. Step 3: Cross multiply
    7,864.02x = 10,853.82 × 5,972.22
  4. Step 4: Simplify right side
    7,864.02x = 64,821,400.88
  5. Step 5: Solve for x
    x = 64,821,400.88/7,864.02
  6. Step 6: Final answer
    x = 8,242.78

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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.