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Finding the Fourth Proportional to 8,037.66, 12,055.29 and 3,106.68

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Solution

The fourth proportional to 8,037.66, 12,055.29 and 3,106.68 is: 4,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.66 : 12,055.29 = 3,106.68 : x
  2. Step 2: Convert to fraction form
    8,037.66/12,055.29 = 3,106.68/x
  3. Step 3: Cross multiply
    8,037.66x = 12,055.29 × 3,106.68
  4. Step 4: Simplify right side
    8,037.66x = 37,451,928.34
  5. Step 5: Solve for x
    x = 37,451,928.34/8,037.66
  6. Step 6: Final answer
    x = 4,659.56

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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.