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Finding the Fourth Proportional to 11,748.39, 16,213.14 and 6,443.58

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Solution

The fourth proportional to 11,748.39, 16,213.14 and 6,443.58 is: 8,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.39 : 16,213.14 = 6,443.58 : x
  2. Step 2: Convert to fraction form
    11,748.39/16,213.14 = 6,443.58/x
  3. Step 3: Cross multiply
    11,748.39x = 16,213.14 × 6,443.58
  4. Step 4: Simplify right side
    11,748.39x = 104,470,664.64
  5. Step 5: Solve for x
    x = 104,470,664.64/11,748.39
  6. Step 6: Final answer
    x = 8,892.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.