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Finding the Fourth Proportional to 10,540.53, 15,809.58 and 4,294.22

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Solution

The fourth proportional to 10,540.53, 15,809.58 and 4,294.22 is: 6,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.53 : 15,809.58 = 4,294.22 : x
  2. Step 2: Convert to fraction form
    10,540.53/15,809.58 = 4,294.22/x
  3. Step 3: Cross multiply
    10,540.53x = 15,809.58 × 4,294.22
  4. Step 4: Simplify right side
    10,540.53x = 67,889,735.58
  5. Step 5: Solve for x
    x = 67,889,735.58/10,540.53
  6. Step 6: Final answer
    x = 6,440.83

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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.