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Finding the Fourth Proportional to 7,688.71, 10,610.97 and 4,286.26

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Solution

The fourth proportional to 7,688.71, 10,610.97 and 4,286.26 is: 5,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.71 : 10,610.97 = 4,286.26 : x
  2. Step 2: Convert to fraction form
    7,688.71/10,610.97 = 4,286.26/x
  3. Step 3: Cross multiply
    7,688.71x = 10,610.97 × 4,286.26
  4. Step 4: Simplify right side
    7,688.71x = 45,481,376.27
  5. Step 5: Solve for x
    x = 45,481,376.27/7,688.71
  6. Step 6: Final answer
    x = 5,915.35

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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.