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Finding the Fourth Proportional to 10,589.85, 15,888.42 and 3,194.10

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Solution

The fourth proportional to 10,589.85, 15,888.42 and 3,194.10 is: 4,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.85 : 15,888.42 = 3,194.10 : x
  2. Step 2: Convert to fraction form
    10,589.85/15,888.42 = 3,194.10/x
  3. Step 3: Cross multiply
    10,589.85x = 15,888.42 × 3,194.10
  4. Step 4: Simplify right side
    10,589.85x = 50,749,202.32
  5. Step 5: Solve for x
    x = 50,749,202.32/10,589.85
  6. Step 6: Final answer
    x = 4,792.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.