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Finding the Fourth Proportional to 10,589.56, 15,885.09 and 3,194.58

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Solution

The fourth proportional to 10,589.56, 15,885.09 and 3,194.58 is: 4,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.56 : 15,885.09 = 3,194.58 : x
  2. Step 2: Convert to fraction form
    10,589.56/15,885.09 = 3,194.58/x
  3. Step 3: Cross multiply
    10,589.56x = 15,885.09 × 3,194.58
  4. Step 4: Simplify right side
    10,589.56x = 50,746,190.81
  5. Step 5: Solve for x
    x = 50,746,190.81/10,589.56
  6. Step 6: Final answer
    x = 4,792.10

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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.