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Finding the Fourth Proportional to 8,012.83, 12,023.54 and 4,117.23

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Solution

The fourth proportional to 8,012.83, 12,023.54 and 4,117.23 is: 6,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.83 : 12,023.54 = 4,117.23 : x
  2. Step 2: Convert to fraction form
    8,012.83/12,023.54 = 4,117.23/x
  3. Step 3: Cross multiply
    8,012.83x = 12,023.54 × 4,117.23
  4. Step 4: Simplify right side
    8,012.83x = 49,503,719.95
  5. Step 5: Solve for x
    x = 49,503,719.95/8,012.83
  6. Step 6: Final answer
    x = 6,178.06

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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.