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Finding the Fourth Proportional to 8,505.61, 12,751.09 and 2,958.22

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Solution

The fourth proportional to 8,505.61, 12,751.09 and 2,958.22 is: 4,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.61 : 12,751.09 = 2,958.22 : x
  2. Step 2: Convert to fraction form
    8,505.61/12,751.09 = 2,958.22/x
  3. Step 3: Cross multiply
    8,505.61x = 12,751.09 × 2,958.22
  4. Step 4: Simplify right side
    8,505.61x = 37,720,538.00
  5. Step 5: Solve for x
    x = 37,720,538.00/8,505.61
  6. Step 6: Final answer
    x = 4,434.78

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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.