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Finding the Fourth Proportional to 7,277.55, 10,024.34 and 5,149.41

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Solution

The fourth proportional to 7,277.55, 10,024.34 and 5,149.41 is: 7,092.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.55 : 10,024.34 = 5,149.41 : x
  2. Step 2: Convert to fraction form
    7,277.55/10,024.34 = 5,149.41/x
  3. Step 3: Cross multiply
    7,277.55x = 10,024.34 × 5,149.41
  4. Step 4: Simplify right side
    7,277.55x = 51,619,410.89
  5. Step 5: Solve for x
    x = 51,619,410.89/7,277.55
  6. Step 6: Final answer
    x = 7,092.97

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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.