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Finding the Fourth Proportional to 8,051.38, 12,076.53 and 2,207.50

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Solution

The fourth proportional to 8,051.38, 12,076.53 and 2,207.50 is: 3,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.38 : 12,076.53 = 2,207.50 : x
  2. Step 2: Convert to fraction form
    8,051.38/12,076.53 = 2,207.50/x
  3. Step 3: Cross multiply
    8,051.38x = 12,076.53 × 2,207.50
  4. Step 4: Simplify right side
    8,051.38x = 26,658,939.98
  5. Step 5: Solve for x
    x = 26,658,939.98/8,051.38
  6. Step 6: Final answer
    x = 3,311.10

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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.