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Finding the Fourth Proportional to 11,564.52, 15,942.06 and 8,335.32

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Solution

The fourth proportional to 11,564.52, 15,942.06 and 8,335.32 is: 11,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.52 : 15,942.06 = 8,335.32 : x
  2. Step 2: Convert to fraction form
    11,564.52/15,942.06 = 8,335.32/x
  3. Step 3: Cross multiply
    11,564.52x = 15,942.06 × 8,335.32
  4. Step 4: Simplify right side
    11,564.52x = 132,882,171.56
  5. Step 5: Solve for x
    x = 132,882,171.56/11,564.52
  6. Step 6: Final answer
    x = 11,490.50

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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.