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Finding the Fourth Proportional to 7,536.77, 11,312.16 and 3,841.78

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Solution

The fourth proportional to 7,536.77, 11,312.16 and 3,841.78 is: 5,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.77 : 11,312.16 = 3,841.78 : x
  2. Step 2: Convert to fraction form
    7,536.77/11,312.16 = 3,841.78/x
  3. Step 3: Cross multiply
    7,536.77x = 11,312.16 × 3,841.78
  4. Step 4: Simplify right side
    7,536.77x = 43,458,754.28
  5. Step 5: Solve for x
    x = 43,458,754.28/7,536.77
  6. Step 6: Final answer
    x = 5,766.23

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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.