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Finding the Fourth Proportional to 8,100, 12,156.48 and 4,205.52

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Solution

The fourth proportional to 8,100, 12,156.48 and 4,205.52 is: 6,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100 : 12,156.48 = 4,205.52 : x
  2. Step 2: Convert to fraction form
    8,100/12,156.48 = 4,205.52/x
  3. Step 3: Cross multiply
    8,100x = 12,156.48 × 4,205.52
  4. Step 4: Simplify right side
    8,100x = 51,124,319.77
  5. Step 5: Solve for x
    x = 51,124,319.77/8,100
  6. Step 6: Final answer
    x = 6,311.64

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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.