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Finding the Fourth Proportional to 11,775.61, 16,246.32 and 7,297.73

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Solution

The fourth proportional to 11,775.61, 16,246.32 and 7,297.73 is: 10,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.61 : 16,246.32 = 7,297.73 : x
  2. Step 2: Convert to fraction form
    11,775.61/16,246.32 = 7,297.73/x
  3. Step 3: Cross multiply
    11,775.61x = 16,246.32 × 7,297.73
  4. Step 4: Simplify right side
    11,775.61x = 118,561,175.62
  5. Step 5: Solve for x
    x = 118,561,175.62/11,775.61
  6. Step 6: Final answer
    x = 10,068.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.