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Finding the Fourth Proportional to 8,143.80, 12,203.39 and 6,054.00

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Solution

The fourth proportional to 8,143.80, 12,203.39 and 6,054.00 is: 9,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.80 : 12,203.39 = 6,054.00 : x
  2. Step 2: Convert to fraction form
    8,143.80/12,203.39 = 6,054.00/x
  3. Step 3: Cross multiply
    8,143.80x = 12,203.39 × 6,054.00
  4. Step 4: Simplify right side
    8,143.80x = 73,879,292.43
  5. Step 5: Solve for x
    x = 73,879,292.43/8,143.80
  6. Step 6: Final answer
    x = 9,071.85

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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.