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Finding the Fourth Proportional to 7,930.94, 10,939.75 and 5,102

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Solution

The fourth proportional to 7,930.94, 10,939.75 and 5,102 is: 7,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.94 : 10,939.75 = 5,102 : x
  2. Step 2: Convert to fraction form
    7,930.94/10,939.75 = 5,102/x
  3. Step 3: Cross multiply
    7,930.94x = 10,939.75 × 5,102
  4. Step 4: Simplify right side
    7,930.94x = 55,814,578.99
  5. Step 5: Solve for x
    x = 55,814,578.99/7,930.94
  6. Step 6: Final answer
    x = 7,037.57

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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.