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Finding the Fourth Proportional to 11,690.01, 17,531.37 and 3,897

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Solution

The fourth proportional to 11,690.01, 17,531.37 and 3,897 is: 5,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.01 : 17,531.37 = 3,897 : x
  2. Step 2: Convert to fraction form
    11,690.01/17,531.37 = 3,897/x
  3. Step 3: Cross multiply
    11,690.01x = 17,531.37 × 3,897
  4. Step 4: Simplify right side
    11,690.01x = 68,319,748.89
  5. Step 5: Solve for x
    x = 68,319,748.89/11,690.01
  6. Step 6: Final answer
    x = 5,844.28

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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.