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Finding the Fourth Proportional to 8,029.54, 12,046.35 and 3,097.85

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Solution

The fourth proportional to 8,029.54, 12,046.35 and 3,097.85 is: 4,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.54 : 12,046.35 = 3,097.85 : x
  2. Step 2: Convert to fraction form
    8,029.54/12,046.35 = 3,097.85/x
  3. Step 3: Cross multiply
    8,029.54x = 12,046.35 × 3,097.85
  4. Step 4: Simplify right side
    8,029.54x = 37,317,830.52
  5. Step 5: Solve for x
    x = 37,317,830.52/8,029.54
  6. Step 6: Final answer
    x = 4,647.57

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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.