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Finding the Fourth Proportional to 7,664.58, 11,519.81 and 6,356.94

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Solution

The fourth proportional to 7,664.58, 11,519.81 and 6,356.94 is: 9,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.58 : 11,519.81 = 6,356.94 : x
  2. Step 2: Convert to fraction form
    7,664.58/11,519.81 = 6,356.94/x
  3. Step 3: Cross multiply
    7,664.58x = 11,519.81 × 6,356.94
  4. Step 4: Simplify right side
    7,664.58x = 73,230,709.20
  5. Step 5: Solve for x
    x = 73,230,709.20/7,664.58
  6. Step 6: Final answer
    x = 9,554.43

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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.