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Finding the Fourth Proportional to 7,256.57, 10,000.42 and 5,014.44

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Solution

The fourth proportional to 7,256.57, 10,000.42 and 5,014.44 is: 6,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.57 : 10,000.42 = 5,014.44 : x
  2. Step 2: Convert to fraction form
    7,256.57/10,000.42 = 5,014.44/x
  3. Step 3: Cross multiply
    7,256.57x = 10,000.42 × 5,014.44
  4. Step 4: Simplify right side
    7,256.57x = 50,146,493.53
  5. Step 5: Solve for x
    x = 50,146,493.53/7,256.57
  6. Step 6: Final answer
    x = 6,910.50

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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.