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Finding the Fourth Proportional to 8,048.26, 12,075.85 and 4,353.09

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Solution

The fourth proportional to 8,048.26, 12,075.85 and 4,353.09 is: 6,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.26 : 12,075.85 = 4,353.09 : x
  2. Step 2: Convert to fraction form
    8,048.26/12,075.85 = 4,353.09/x
  3. Step 3: Cross multiply
    8,048.26x = 12,075.85 × 4,353.09
  4. Step 4: Simplify right side
    8,048.26x = 52,567,201.50
  5. Step 5: Solve for x
    x = 52,567,201.50/8,048.26
  6. Step 6: Final answer
    x = 6,531.50

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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.