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Finding the Fourth Proportional to 7,704.29, 10,638.24 and 4,876.25

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Solution

The fourth proportional to 7,704.29, 10,638.24 and 4,876.25 is: 6,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.29 : 10,638.24 = 4,876.25 : x
  2. Step 2: Convert to fraction form
    7,704.29/10,638.24 = 4,876.25/x
  3. Step 3: Cross multiply
    7,704.29x = 10,638.24 × 4,876.25
  4. Step 4: Simplify right side
    7,704.29x = 51,874,717.80
  5. Step 5: Solve for x
    x = 51,874,717.80/7,704.29
  6. Step 6: Final answer
    x = 6,733.22

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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.