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Finding the Fourth Proportional to 8,734.69, 12,053.77 and 4,755.90

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Solution

The fourth proportional to 8,734.69, 12,053.77 and 4,755.90 is: 6,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.69 : 12,053.77 = 4,755.90 : x
  2. Step 2: Convert to fraction form
    8,734.69/12,053.77 = 4,755.90/x
  3. Step 3: Cross multiply
    8,734.69x = 12,053.77 × 4,755.90
  4. Step 4: Simplify right side
    8,734.69x = 57,326,524.74
  5. Step 5: Solve for x
    x = 57,326,524.74/8,734.69
  6. Step 6: Final answer
    x = 6,563.09

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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.