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Finding the Fourth Proportional to 11,765.34, 16,236.18 and 6,460.43

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Solution

The fourth proportional to 11,765.34, 16,236.18 and 6,460.43 is: 8,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.34 : 16,236.18 = 6,460.43 : x
  2. Step 2: Convert to fraction form
    11,765.34/16,236.18 = 6,460.43/x
  3. Step 3: Cross multiply
    11,765.34x = 16,236.18 × 6,460.43
  4. Step 4: Simplify right side
    11,765.34x = 104,892,623.18
  5. Step 5: Solve for x
    x = 104,892,623.18/11,765.34
  6. Step 6: Final answer
    x = 8,915.39

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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.