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Finding the Fourth Proportional to 8,024.94, 12,037.95 and 2,181.06

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Solution

The fourth proportional to 8,024.94, 12,037.95 and 2,181.06 is: 3,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.94 : 12,037.95 = 2,181.06 : x
  2. Step 2: Convert to fraction form
    8,024.94/12,037.95 = 2,181.06/x
  3. Step 3: Cross multiply
    8,024.94x = 12,037.95 × 2,181.06
  4. Step 4: Simplify right side
    8,024.94x = 26,255,491.23
  5. Step 5: Solve for x
    x = 26,255,491.23/8,024.94
  6. Step 6: Final answer
    x = 3,271.74

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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.