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Finding the Fourth Proportional to 10,089.36, 13,936.66 and 8,416.31

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Solution

The fourth proportional to 10,089.36, 13,936.66 and 8,416.31 is: 11,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.36 : 13,936.66 = 8,416.31 : x
  2. Step 2: Convert to fraction form
    10,089.36/13,936.66 = 8,416.31/x
  3. Step 3: Cross multiply
    10,089.36x = 13,936.66 × 8,416.31
  4. Step 4: Simplify right side
    10,089.36x = 117,295,160.20
  5. Step 5: Solve for x
    x = 117,295,160.20/10,089.36
  6. Step 6: Final answer
    x = 11,625.63

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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.