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Finding the Fourth Proportional to 7,760.41, 10,709.56 and 4,223.82

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Solution

The fourth proportional to 7,760.41, 10,709.56 and 4,223.82 is: 5,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.41 : 10,709.56 = 4,223.82 : x
  2. Step 2: Convert to fraction form
    7,760.41/10,709.56 = 4,223.82/x
  3. Step 3: Cross multiply
    7,760.41x = 10,709.56 × 4,223.82
  4. Step 4: Simplify right side
    7,760.41x = 45,235,253.72
  5. Step 5: Solve for x
    x = 45,235,253.72/7,760.41
  6. Step 6: Final answer
    x = 5,828.98

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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.