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Finding the Fourth Proportional to 10,067.74, 13,893.63 and 6,088.15

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Solution

The fourth proportional to 10,067.74, 13,893.63 and 6,088.15 is: 8,401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.74 : 13,893.63 = 6,088.15 : x
  2. Step 2: Convert to fraction form
    10,067.74/13,893.63 = 6,088.15/x
  3. Step 3: Cross multiply
    10,067.74x = 13,893.63 × 6,088.15
  4. Step 4: Simplify right side
    10,067.74x = 84,586,503.48
  5. Step 5: Solve for x
    x = 84,586,503.48/10,067.74
  6. Step 6: Final answer
    x = 8,401.74

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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.