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Finding the Fourth Proportional to 8,071.50, 12,096.48 and 4,315.58

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Solution

The fourth proportional to 8,071.50, 12,096.48 and 4,315.58 is: 6,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.50 : 12,096.48 = 4,315.58 : x
  2. Step 2: Convert to fraction form
    8,071.50/12,096.48 = 4,315.58/x
  3. Step 3: Cross multiply
    8,071.50x = 12,096.48 × 4,315.58
  4. Step 4: Simplify right side
    8,071.50x = 52,203,327.16
  5. Step 5: Solve for x
    x = 52,203,327.16/8,071.50
  6. Step 6: Final answer
    x = 6,467.61

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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.