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Finding the Fourth Proportional to 8,191.63, 12,291.55 and 3,510.34

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Solution

The fourth proportional to 8,191.63, 12,291.55 and 3,510.34 is: 5,267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.63 : 12,291.55 = 3,510.34 : x
  2. Step 2: Convert to fraction form
    8,191.63/12,291.55 = 3,510.34/x
  3. Step 3: Cross multiply
    8,191.63x = 12,291.55 × 3,510.34
  4. Step 4: Simplify right side
    8,191.63x = 43,147,480.12
  5. Step 5: Solve for x
    x = 43,147,480.12/8,191.63
  6. Step 6: Final answer
    x = 5,267.26

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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.