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Finding the Fourth Proportional to 8,191.36, 12,281.60 and 3,806.40

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Solution

The fourth proportional to 8,191.36, 12,281.60 and 3,806.40 is: 5,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.36 : 12,281.60 = 3,806.40 : x
  2. Step 2: Convert to fraction form
    8,191.36/12,281.60 = 3,806.40/x
  3. Step 3: Cross multiply
    8,191.36x = 12,281.60 × 3,806.40
  4. Step 4: Simplify right side
    8,191.36x = 46,748,682.24
  5. Step 5: Solve for x
    x = 46,748,682.24/8,191.36
  6. Step 6: Final answer
    x = 5,707.07

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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.