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Finding the Fourth Proportional to 7,348.72, 10,144.14 and 5,111.90

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Solution

The fourth proportional to 7,348.72, 10,144.14 and 5,111.90 is: 7,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.72 : 10,144.14 = 5,111.90 : x
  2. Step 2: Convert to fraction form
    7,348.72/10,144.14 = 5,111.90/x
  3. Step 3: Cross multiply
    7,348.72x = 10,144.14 × 5,111.90
  4. Step 4: Simplify right side
    7,348.72x = 51,855,778.55
  5. Step 5: Solve for x
    x = 51,855,778.55/7,348.72
  6. Step 6: Final answer
    x = 7,056.44

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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.