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Finding the Fourth Proportional to 7,131.51, 10,696.73 and 1,937.25

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Solution

The fourth proportional to 7,131.51, 10,696.73 and 1,937.25 is: 2,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.51 : 10,696.73 = 1,937.25 : x
  2. Step 2: Convert to fraction form
    7,131.51/10,696.73 = 1,937.25/x
  3. Step 3: Cross multiply
    7,131.51x = 10,696.73 × 1,937.25
  4. Step 4: Simplify right side
    7,131.51x = 20,722,230.51
  5. Step 5: Solve for x
    x = 20,722,230.51/7,131.51
  6. Step 6: Final answer
    x = 2,905.73

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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.