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Finding the Fourth Proportional to 11,657.26, 17,482.24 and 5,076.82

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Solution

The fourth proportional to 11,657.26, 17,482.24 and 5,076.82 is: 7,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.26 : 17,482.24 = 5,076.82 : x
  2. Step 2: Convert to fraction form
    11,657.26/17,482.24 = 5,076.82/x
  3. Step 3: Cross multiply
    11,657.26x = 17,482.24 × 5,076.82
  4. Step 4: Simplify right side
    11,657.26x = 88,754,129.28
  5. Step 5: Solve for x
    x = 88,754,129.28/11,657.26
  6. Step 6: Final answer
    x = 7,613.64

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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.