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Finding the Fourth Proportional to 10,789.14, 14,889 and 6,074.94

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Solution

The fourth proportional to 10,789.14, 14,889 and 6,074.94 is: 8,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789.14 : 14,889 = 6,074.94 : x
  2. Step 2: Convert to fraction form
    10,789.14/14,889 = 6,074.94/x
  3. Step 3: Cross multiply
    10,789.14x = 14,889 × 6,074.94
  4. Step 4: Simplify right side
    10,789.14x = 90,449,781.66
  5. Step 5: Solve for x
    x = 90,449,781.66/10,789.14
  6. Step 6: Final answer
    x = 8,383.41

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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.