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Finding the Fourth Proportional to 11,577.53, 15,976.94 and 6,272.36

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Solution

The fourth proportional to 11,577.53, 15,976.94 and 6,272.36 is: 8,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.53 : 15,976.94 = 6,272.36 : x
  2. Step 2: Convert to fraction form
    11,577.53/15,976.94 = 6,272.36/x
  3. Step 3: Cross multiply
    11,577.53x = 15,976.94 × 6,272.36
  4. Step 4: Simplify right side
    11,577.53x = 100,213,119.38
  5. Step 5: Solve for x
    x = 100,213,119.38/11,577.53
  6. Step 6: Final answer
    x = 8,655.83

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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.