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Finding the Fourth Proportional to 7,796.31, 11,696.28 and 5,332.29

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Solution

The fourth proportional to 7,796.31, 11,696.28 and 5,332.29 is: 7,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.31 : 11,696.28 = 5,332.29 : x
  2. Step 2: Convert to fraction form
    7,796.31/11,696.28 = 5,332.29/x
  3. Step 3: Cross multiply
    7,796.31x = 11,696.28 × 5,332.29
  4. Step 4: Simplify right side
    7,796.31x = 62,367,898.40
  5. Step 5: Solve for x
    x = 62,367,898.40/7,796.31
  6. Step 6: Final answer
    x = 7,999.67

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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.