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Finding the Fourth Proportional to 10,065.24, 13,889.96 and 5,589

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Solution

The fourth proportional to 10,065.24, 13,889.96 and 5,589 is: 7,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.24 : 13,889.96 = 5,589 : x
  2. Step 2: Convert to fraction form
    10,065.24/13,889.96 = 5,589/x
  3. Step 3: Cross multiply
    10,065.24x = 13,889.96 × 5,589
  4. Step 4: Simplify right side
    10,065.24x = 77,630,986.44
  5. Step 5: Solve for x
    x = 77,630,986.44/10,065.24
  6. Step 6: Final answer
    x = 7,712.78

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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.