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Finding the Fourth Proportional to 8,129.36, 12,193.86 and 3,746.81

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Solution

The fourth proportional to 8,129.36, 12,193.86 and 3,746.81 is: 5,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.36 : 12,193.86 = 3,746.81 : x
  2. Step 2: Convert to fraction form
    8,129.36/12,193.86 = 3,746.81/x
  3. Step 3: Cross multiply
    8,129.36x = 12,193.86 × 3,746.81
  4. Step 4: Simplify right side
    8,129.36x = 45,688,107.07
  5. Step 5: Solve for x
    x = 45,688,107.07/8,129.36
  6. Step 6: Final answer
    x = 5,620.14

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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.