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Finding the Fourth Proportional to 7,696.44, 11,525.76 and 4,914.90

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Solution

The fourth proportional to 7,696.44, 11,525.76 and 4,914.90 is: 7,360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.44 : 11,525.76 = 4,914.90 : x
  2. Step 2: Convert to fraction form
    7,696.44/11,525.76 = 4,914.90/x
  3. Step 3: Cross multiply
    7,696.44x = 11,525.76 × 4,914.90
  4. Step 4: Simplify right side
    7,696.44x = 56,647,957.82
  5. Step 5: Solve for x
    x = 56,647,957.82/7,696.44
  6. Step 6: Final answer
    x = 7,360.28

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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.