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Finding the Fourth Proportional to 7,752.96, 11,633.28 and 3,072.86

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Solution

The fourth proportional to 7,752.96, 11,633.28 and 3,072.86 is: 4,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.96 : 11,633.28 = 3,072.86 : x
  2. Step 2: Convert to fraction form
    7,752.96/11,633.28 = 3,072.86/x
  3. Step 3: Cross multiply
    7,752.96x = 11,633.28 × 3,072.86
  4. Step 4: Simplify right side
    7,752.96x = 35,747,425.42
  5. Step 5: Solve for x
    x = 35,747,425.42/7,752.96
  6. Step 6: Final answer
    x = 4,610.81

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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.