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Finding the Fourth Proportional to 11,657.26, 17,488.42 and 4,261.70

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Solution

The fourth proportional to 11,657.26, 17,488.42 and 4,261.70 is: 6,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.26 : 17,488.42 = 4,261.70 : x
  2. Step 2: Convert to fraction form
    11,657.26/17,488.42 = 4,261.70/x
  3. Step 3: Cross multiply
    11,657.26x = 17,488.42 × 4,261.70
  4. Step 4: Simplify right side
    11,657.26x = 74,530,399.51
  5. Step 5: Solve for x
    x = 74,530,399.51/11,657.26
  6. Step 6: Final answer
    x = 6,393.47

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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.