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Finding the Fourth Proportional to 11,473.26, 15,833.52 and 6,696.30

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Solution

The fourth proportional to 11,473.26, 15,833.52 and 6,696.30 is: 9,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.26 : 15,833.52 = 6,696.30 : x
  2. Step 2: Convert to fraction form
    11,473.26/15,833.52 = 6,696.30/x
  3. Step 3: Cross multiply
    11,473.26x = 15,833.52 × 6,696.30
  4. Step 4: Simplify right side
    11,473.26x = 106,025,999.98
  5. Step 5: Solve for x
    x = 106,025,999.98/11,473.26
  6. Step 6: Final answer
    x = 9,241.14

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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.