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Finding the Fourth Proportional to 7,969.26, 11,953.06 and 2,632.57

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Solution

The fourth proportional to 7,969.26, 11,953.06 and 2,632.57 is: 3,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.26 : 11,953.06 = 2,632.57 : x
  2. Step 2: Convert to fraction form
    7,969.26/11,953.06 = 2,632.57/x
  3. Step 3: Cross multiply
    7,969.26x = 11,953.06 × 2,632.57
  4. Step 4: Simplify right side
    7,969.26x = 31,467,267.16
  5. Step 5: Solve for x
    x = 31,467,267.16/7,969.26
  6. Step 6: Final answer
    x = 3,948.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.