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Finding the Fourth Proportional to 7,760.79, 10,709.57 and 4,224

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Solution

The fourth proportional to 7,760.79, 10,709.57 and 4,224 is: 5,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.79 : 10,709.57 = 4,224 : x
  2. Step 2: Convert to fraction form
    7,760.79/10,709.57 = 4,224/x
  3. Step 3: Cross multiply
    7,760.79x = 10,709.57 × 4,224
  4. Step 4: Simplify right side
    7,760.79x = 45,237,202.56
  5. Step 5: Solve for x
    x = 45,237,202.56/7,760.79
  6. Step 6: Final answer
    x = 5,828.95

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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.