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Finding the Fourth Proportional to 7,729.72, 10,664.22 and 5,078.56

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Solution

The fourth proportional to 7,729.72, 10,664.22 and 5,078.56 is: 7,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.72 : 10,664.22 = 5,078.56 : x
  2. Step 2: Convert to fraction form
    7,729.72/10,664.22 = 5,078.56/x
  3. Step 3: Cross multiply
    7,729.72x = 10,664.22 × 5,078.56
  4. Step 4: Simplify right side
    7,729.72x = 54,158,881.12
  5. Step 5: Solve for x
    x = 54,158,881.12/7,729.72
  6. Step 6: Final answer
    x = 7,006.58

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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.