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Finding the Fourth Proportional to 8,194.10, 12,291.15 and 7,790.90

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Solution

The fourth proportional to 8,194.10, 12,291.15 and 7,790.90 is: 11,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.10 : 12,291.15 = 7,790.90 : x
  2. Step 2: Convert to fraction form
    8,194.10/12,291.15 = 7,790.90/x
  3. Step 3: Cross multiply
    8,194.10x = 12,291.15 × 7,790.90
  4. Step 4: Simplify right side
    8,194.10x = 95,759,120.54
  5. Step 5: Solve for x
    x = 95,759,120.54/8,194.10
  6. Step 6: Final answer
    x = 11,686.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.