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Finding the Fourth Proportional to 8,038.50, 12,064.29 and 4,144.02

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Solution

The fourth proportional to 8,038.50, 12,064.29 and 4,144.02 is: 6,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.50 : 12,064.29 = 4,144.02 : x
  2. Step 2: Convert to fraction form
    8,038.50/12,064.29 = 4,144.02/x
  3. Step 3: Cross multiply
    8,038.50x = 12,064.29 × 4,144.02
  4. Step 4: Simplify right side
    8,038.50x = 49,994,659.05
  5. Step 5: Solve for x
    x = 49,994,659.05/8,038.50
  6. Step 6: Final answer
    x = 6,219.40

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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.