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Finding the Fourth Proportional to 8,078.10, 12,107.55 and 6,023.70

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Solution

The fourth proportional to 8,078.10, 12,107.55 and 6,023.70 is: 9,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.10 : 12,107.55 = 6,023.70 : x
  2. Step 2: Convert to fraction form
    8,078.10/12,107.55 = 6,023.70/x
  3. Step 3: Cross multiply
    8,078.10x = 12,107.55 × 6,023.70
  4. Step 4: Simplify right side
    8,078.10x = 72,932,248.94
  5. Step 5: Solve for x
    x = 72,932,248.94/8,078.10
  6. Step 6: Final answer
    x = 9,028.39

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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.