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Finding the Fourth Proportional to 10,606.50, 15,905.75 and 8,521.38

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Solution

The fourth proportional to 10,606.50, 15,905.75 and 8,521.38 is: 12,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.50 : 15,905.75 = 8,521.38 : x
  2. Step 2: Convert to fraction form
    10,606.50/15,905.75 = 8,521.38/x
  3. Step 3: Cross multiply
    10,606.50x = 15,905.75 × 8,521.38
  4. Step 4: Simplify right side
    10,606.50x = 135,538,939.94
  5. Step 5: Solve for x
    x = 135,538,939.94/10,606.50
  6. Step 6: Final answer
    x = 12,778.86

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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.