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Finding the Fourth Proportional to 7,750.14, 10,696.23 and 4,963.74

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Solution

The fourth proportional to 7,750.14, 10,696.23 and 4,963.74 is: 6,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.14 : 10,696.23 = 4,963.74 : x
  2. Step 2: Convert to fraction form
    7,750.14/10,696.23 = 4,963.74/x
  3. Step 3: Cross multiply
    7,750.14x = 10,696.23 × 4,963.74
  4. Step 4: Simplify right side
    7,750.14x = 53,093,304.70
  5. Step 5: Solve for x
    x = 53,093,304.70/7,750.14
  6. Step 6: Final answer
    x = 6,850.63

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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.