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Finding the Fourth Proportional to 7,086.51, 10,629.77 and 1,892.25

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Solution

The fourth proportional to 7,086.51, 10,629.77 and 1,892.25 is: 2,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.51 : 10,629.77 = 1,892.25 : x
  2. Step 2: Convert to fraction form
    7,086.51/10,629.77 = 1,892.25/x
  3. Step 3: Cross multiply
    7,086.51x = 10,629.77 × 1,892.25
  4. Step 4: Simplify right side
    7,086.51x = 20,114,172.82
  5. Step 5: Solve for x
    x = 20,114,172.82/7,086.51
  6. Step 6: Final answer
    x = 2,838.38

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Why These Related Problems?

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