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Finding the Fourth Proportional to 8,029.63, 12,039.38 and 3,870.68

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Solution

The fourth proportional to 8,029.63, 12,039.38 and 3,870.68 is: 5,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.63 : 12,039.38 = 3,870.68 : x
  2. Step 2: Convert to fraction form
    8,029.63/12,039.38 = 3,870.68/x
  3. Step 3: Cross multiply
    8,029.63x = 12,039.38 × 3,870.68
  4. Step 4: Simplify right side
    8,029.63x = 46,600,568.03
  5. Step 5: Solve for x
    x = 46,600,568.03/8,029.63
  6. Step 6: Final answer
    x = 5,803.58

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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.