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Finding the Fourth Proportional to 11,362.14, 15,679.62 and 6,326.37

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Solution

The fourth proportional to 11,362.14, 15,679.62 and 6,326.37 is: 8,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.14 : 15,679.62 = 6,326.37 : x
  2. Step 2: Convert to fraction form
    11,362.14/15,679.62 = 6,326.37/x
  3. Step 3: Cross multiply
    11,362.14x = 15,679.62 × 6,326.37
  4. Step 4: Simplify right side
    11,362.14x = 99,195,077.58
  5. Step 5: Solve for x
    x = 99,195,077.58/11,362.14
  6. Step 6: Final answer
    x = 8,730.32

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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.