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Finding the Fourth Proportional to 7,559.78, 11,323.26 and 3,656

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Solution

The fourth proportional to 7,559.78, 11,323.26 and 3,656 is: 5,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.78 : 11,323.26 = 3,656 : x
  2. Step 2: Convert to fraction form
    7,559.78/11,323.26 = 3,656/x
  3. Step 3: Cross multiply
    7,559.78x = 11,323.26 × 3,656
  4. Step 4: Simplify right side
    7,559.78x = 41,397,838.56
  5. Step 5: Solve for x
    x = 41,397,838.56/7,559.78
  6. Step 6: Final answer
    x = 5,476.06

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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.