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Finding the Fourth Proportional to 11,656.26, 17,489.85 and 5,813.32

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Solution

The fourth proportional to 11,656.26, 17,489.85 and 5,813.32 is: 8,722.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.26 : 17,489.85 = 5,813.32 : x
  2. Step 2: Convert to fraction form
    11,656.26/17,489.85 = 5,813.32/x
  3. Step 3: Cross multiply
    11,656.26x = 17,489.85 × 5,813.32
  4. Step 4: Simplify right side
    11,656.26x = 101,674,094.80
  5. Step 5: Solve for x
    x = 101,674,094.80/11,656.26
  6. Step 6: Final answer
    x = 8,722.70

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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.