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Finding the Fourth Proportional to 8,014.83, 12,024.68 and 3,853.67

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Solution

The fourth proportional to 8,014.83, 12,024.68 and 3,853.67 is: 5,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.83 : 12,024.68 = 3,853.67 : x
  2. Step 2: Convert to fraction form
    8,014.83/12,024.68 = 3,853.67/x
  3. Step 3: Cross multiply
    8,014.83x = 12,024.68 × 3,853.67
  4. Step 4: Simplify right side
    8,014.83x = 46,339,069.18
  5. Step 5: Solve for x
    x = 46,339,069.18/8,014.83
  6. Step 6: Final answer
    x = 5,781.67

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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.