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Finding the Fourth Proportional to 8,022.92, 12,037.80 and 4,130.06

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Solution

The fourth proportional to 8,022.92, 12,037.80 and 4,130.06 is: 6,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.92 : 12,037.80 = 4,130.06 : x
  2. Step 2: Convert to fraction form
    8,022.92/12,037.80 = 4,130.06/x
  3. Step 3: Cross multiply
    8,022.92x = 12,037.80 × 4,130.06
  4. Step 4: Simplify right side
    8,022.92x = 49,716,836.27
  5. Step 5: Solve for x
    x = 49,716,836.27/8,022.92
  6. Step 6: Final answer
    x = 6,196.85

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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.