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Finding the Fourth Proportional to 11,893.77, 16,404.26 and 8,307.57

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Solution

The fourth proportional to 11,893.77, 16,404.26 and 8,307.57 is: 11,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.77 : 16,404.26 = 8,307.57 : x
  2. Step 2: Convert to fraction form
    11,893.77/16,404.26 = 8,307.57/x
  3. Step 3: Cross multiply
    11,893.77x = 16,404.26 × 8,307.57
  4. Step 4: Simplify right side
    11,893.77x = 136,279,496.71
  5. Step 5: Solve for x
    x = 136,279,496.71/11,893.77
  6. Step 6: Final answer
    x = 11,458.06

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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.