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Finding the Fourth Proportional to 8,001.80, 12,006.30 and 3,840.20

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Solution

The fourth proportional to 8,001.80, 12,006.30 and 3,840.20 is: 5,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.80 : 12,006.30 = 3,840.20 : x
  2. Step 2: Convert to fraction form
    8,001.80/12,006.30 = 3,840.20/x
  3. Step 3: Cross multiply
    8,001.80x = 12,006.30 × 3,840.20
  4. Step 4: Simplify right side
    8,001.80x = 46,106,593.26
  5. Step 5: Solve for x
    x = 46,106,593.26/8,001.80
  6. Step 6: Final answer
    x = 5,762.03

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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.