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Finding the Fourth Proportional to 7,958.94, 10,983.36 and 4,422.14

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Solution

The fourth proportional to 7,958.94, 10,983.36 and 4,422.14 is: 6,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.94 : 10,983.36 = 4,422.14 : x
  2. Step 2: Convert to fraction form
    7,958.94/10,983.36 = 4,422.14/x
  3. Step 3: Cross multiply
    7,958.94x = 10,983.36 × 4,422.14
  4. Step 4: Simplify right side
    7,958.94x = 48,569,955.59
  5. Step 5: Solve for x
    x = 48,569,955.59/7,958.94
  6. Step 6: Final answer
    x = 6,102.57

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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.