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Finding the Fourth Proportional to 7,760.94, 10,709.78 and 4,224.17

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Solution

The fourth proportional to 7,760.94, 10,709.78 and 4,224.17 is: 5,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.94 : 10,709.78 = 4,224.17 : x
  2. Step 2: Convert to fraction form
    7,760.94/10,709.78 = 4,224.17/x
  3. Step 3: Cross multiply
    7,760.94x = 10,709.78 × 4,224.17
  4. Step 4: Simplify right side
    7,760.94x = 45,239,856.71
  5. Step 5: Solve for x
    x = 45,239,856.71/7,760.94
  6. Step 6: Final answer
    x = 5,829.17

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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.