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Finding the Fourth Proportional to 10,494.46, 15,741.16 and 3,920.15

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Solution

The fourth proportional to 10,494.46, 15,741.16 and 3,920.15 is: 5,880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.46 : 15,741.16 = 3,920.15 : x
  2. Step 2: Convert to fraction form
    10,494.46/15,741.16 = 3,920.15/x
  3. Step 3: Cross multiply
    10,494.46x = 15,741.16 × 3,920.15
  4. Step 4: Simplify right side
    10,494.46x = 61,707,660.41
  5. Step 5: Solve for x
    x = 61,707,660.41/10,494.46
  6. Step 6: Final answer
    x = 5,880.02

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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.