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Finding the Fourth Proportional to 11,362.26, 15,680.16 and 6,649.26

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Solution

The fourth proportional to 11,362.26, 15,680.16 and 6,649.26 is: 9,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.26 : 15,680.16 = 6,649.26 : x
  2. Step 2: Convert to fraction form
    11,362.26/15,680.16 = 6,649.26/x
  3. Step 3: Cross multiply
    11,362.26x = 15,680.16 × 6,649.26
  4. Step 4: Simplify right side
    11,362.26x = 104,261,460.68
  5. Step 5: Solve for x
    x = 104,261,460.68/11,362.26
  6. Step 6: Final answer
    x = 9,176.12

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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.