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Finding the Fourth Proportional to 8,441.68, 12,665.94 and 4,063

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Solution

The fourth proportional to 8,441.68, 12,665.94 and 4,063 is: 6,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.68 : 12,665.94 = 4,063 : x
  2. Step 2: Convert to fraction form
    8,441.68/12,665.94 = 4,063/x
  3. Step 3: Cross multiply
    8,441.68x = 12,665.94 × 4,063
  4. Step 4: Simplify right side
    8,441.68x = 51,461,714.22
  5. Step 5: Solve for x
    x = 51,461,714.22/8,441.68
  6. Step 6: Final answer
    x = 6,096.15

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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.