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Finding the Fourth Proportional to 7,694.33, 10,615.82 and 4,707.05

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Solution

The fourth proportional to 7,694.33, 10,615.82 and 4,707.05 is: 6,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.33 : 10,615.82 = 4,707.05 : x
  2. Step 2: Convert to fraction form
    7,694.33/10,615.82 = 4,707.05/x
  3. Step 3: Cross multiply
    7,694.33x = 10,615.82 × 4,707.05
  4. Step 4: Simplify right side
    7,694.33x = 49,969,172.00
  5. Step 5: Solve for x
    x = 49,969,172.00/7,694.33
  6. Step 6: Final answer
    x = 6,494.29

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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.