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Finding the Fourth Proportional to 7,277.57, 10,908.45 and 4,777.71

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Solution

The fourth proportional to 7,277.57, 10,908.45 and 4,777.71 is: 7,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.57 : 10,908.45 = 4,777.71 : x
  2. Step 2: Convert to fraction form
    7,277.57/10,908.45 = 4,777.71/x
  3. Step 3: Cross multiply
    7,277.57x = 10,908.45 × 4,777.71
  4. Step 4: Simplify right side
    7,277.57x = 52,117,387.66
  5. Step 5: Solve for x
    x = 52,117,387.66/7,277.57
  6. Step 6: Final answer
    x = 7,161.37

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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.