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Finding the Fourth Proportional to 7,963.51, 11,941.14 and 3,577.22

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Solution

The fourth proportional to 7,963.51, 11,941.14 and 3,577.22 is: 5,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.51 : 11,941.14 = 3,577.22 : x
  2. Step 2: Convert to fraction form
    7,963.51/11,941.14 = 3,577.22/x
  3. Step 3: Cross multiply
    7,963.51x = 11,941.14 × 3,577.22
  4. Step 4: Simplify right side
    7,963.51x = 42,716,066.94
  5. Step 5: Solve for x
    x = 42,716,066.94/7,963.51
  6. Step 6: Final answer
    x = 5,363.97

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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.