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Finding the Fourth Proportional to 8,041.98, 12,067.08 and 3,830.00

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Solution

The fourth proportional to 8,041.98, 12,067.08 and 3,830.00 is: 5,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.98 : 12,067.08 = 3,830.00 : x
  2. Step 2: Convert to fraction form
    8,041.98/12,067.08 = 3,830.00/x
  3. Step 3: Cross multiply
    8,041.98x = 12,067.08 × 3,830.00
  4. Step 4: Simplify right side
    8,041.98x = 46,216,856.06
  5. Step 5: Solve for x
    x = 46,216,856.06/8,041.98
  6. Step 6: Final answer
    x = 5,746.95

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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.