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Finding the Fourth Proportional to 7,634.69, 10,536.49 and 4,278.26

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Solution

The fourth proportional to 7,634.69, 10,536.49 and 4,278.26 is: 5,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.69 : 10,536.49 = 4,278.26 : x
  2. Step 2: Convert to fraction form
    7,634.69/10,536.49 = 4,278.26/x
  3. Step 3: Cross multiply
    7,634.69x = 10,536.49 × 4,278.26
  4. Step 4: Simplify right side
    7,634.69x = 45,077,843.71
  5. Step 5: Solve for x
    x = 45,077,843.71/7,634.69
  6. Step 6: Final answer
    x = 5,904.34

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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.