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Finding the Fourth Proportional to 7,760.76, 10,709.72 and 4,223.90

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Solution

The fourth proportional to 7,760.76, 10,709.72 and 4,223.90 is: 5,828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.76 : 10,709.72 = 4,223.90 : x
  2. Step 2: Convert to fraction form
    7,760.76/10,709.72 = 4,223.90/x
  3. Step 3: Cross multiply
    7,760.76x = 10,709.72 × 4,223.90
  4. Step 4: Simplify right side
    7,760.76x = 45,236,786.31
  5. Step 5: Solve for x
    x = 45,236,786.31/7,760.76
  6. Step 6: Final answer
    x = 5,828.91

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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.