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Finding the Fourth Proportional to 8,205.90, 12,316.77 and 7,761.90

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Solution

The fourth proportional to 8,205.90, 12,316.77 and 7,761.90 is: 11,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.90 : 12,316.77 = 7,761.90 : x
  2. Step 2: Convert to fraction form
    8,205.90/12,316.77 = 7,761.90/x
  3. Step 3: Cross multiply
    8,205.90x = 12,316.77 × 7,761.90
  4. Step 4: Simplify right side
    8,205.90x = 95,601,537.06
  5. Step 5: Solve for x
    x = 95,601,537.06/8,205.90
  6. Step 6: Final answer
    x = 11,650.34

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1.5x scale

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.