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Finding the Fourth Proportional to 7,133.73, 10,696.71 and 2,202.45

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Solution

The fourth proportional to 7,133.73, 10,696.71 and 2,202.45 is: 3,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.73 : 10,696.71 = 2,202.45 : x
  2. Step 2: Convert to fraction form
    7,133.73/10,696.71 = 2,202.45/x
  3. Step 3: Cross multiply
    7,133.73x = 10,696.71 × 2,202.45
  4. Step 4: Simplify right side
    7,133.73x = 23,558,968.94
  5. Step 5: Solve for x
    x = 23,558,968.94/7,133.73
  6. Step 6: Final answer
    x = 3,302.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.