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Finding the Fourth Proportional to 8,048.01, 12,069.68 and 3,116.55

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Solution

The fourth proportional to 8,048.01, 12,069.68 and 3,116.55 is: 4,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.01 : 12,069.68 = 3,116.55 : x
  2. Step 2: Convert to fraction form
    8,048.01/12,069.68 = 3,116.55/x
  3. Step 3: Cross multiply
    8,048.01x = 12,069.68 × 3,116.55
  4. Step 4: Simplify right side
    8,048.01x = 37,615,745.62
  5. Step 5: Solve for x
    x = 37,615,745.62/8,048.01
  6. Step 6: Final answer
    x = 4,673.92

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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.