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Finding the Fourth Proportional to 7,760.71, 10,709.81 and 4,223.94

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Solution

The fourth proportional to 7,760.71, 10,709.81 and 4,223.94 is: 5,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.71 : 10,709.81 = 4,223.94 : x
  2. Step 2: Convert to fraction form
    7,760.71/10,709.81 = 4,223.94/x
  3. Step 3: Cross multiply
    7,760.71x = 10,709.81 × 4,223.94
  4. Step 4: Simplify right side
    7,760.71x = 45,237,594.85
  5. Step 5: Solve for x
    x = 45,237,594.85/7,760.71
  6. Step 6: Final answer
    x = 5,829.05

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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.