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Finding the Fourth Proportional to 8,007.20, 12,007.20 and 3,075.20

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Solution

The fourth proportional to 8,007.20, 12,007.20 and 3,075.20 is: 4,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.20 : 12,007.20 = 3,075.20 : x
  2. Step 2: Convert to fraction form
    8,007.20/12,007.20 = 3,075.20/x
  3. Step 3: Cross multiply
    8,007.20x = 12,007.20 × 3,075.20
  4. Step 4: Simplify right side
    8,007.20x = 36,924,541.44
  5. Step 5: Solve for x
    x = 36,924,541.44/8,007.20
  6. Step 6: Final answer
    x = 4,611.42

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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.