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Finding the Fourth Proportional to 7,733.72, 10,682.54 and 5,721.22

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Solution

The fourth proportional to 7,733.72, 10,682.54 and 5,721.22 is: 7,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.72 : 10,682.54 = 5,721.22 : x
  2. Step 2: Convert to fraction form
    7,733.72/10,682.54 = 5,721.22/x
  3. Step 3: Cross multiply
    7,733.72x = 10,682.54 × 5,721.22
  4. Step 4: Simplify right side
    7,733.72x = 61,117,161.50
  5. Step 5: Solve for x
    x = 61,117,161.50/7,733.72
  6. Step 6: Final answer
    x = 7,902.69

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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.