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Finding the Fourth Proportional to 8,014.10, 12,014.19 and 3,852.02

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Solution

The fourth proportional to 8,014.10, 12,014.19 and 3,852.02 is: 5,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.10 : 12,014.19 = 3,852.02 : x
  2. Step 2: Convert to fraction form
    8,014.10/12,014.19 = 3,852.02/x
  3. Step 3: Cross multiply
    8,014.10x = 12,014.19 × 3,852.02
  4. Step 4: Simplify right side
    8,014.10x = 46,278,900.16
  5. Step 5: Solve for x
    x = 46,278,900.16/8,014.10
  6. Step 6: Final answer
    x = 5,774.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.