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Finding the Fourth Proportional to 11,765.46, 16,236.60 and 6,460.32

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Solution

The fourth proportional to 11,765.46, 16,236.60 and 6,460.32 is: 8,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.46 : 16,236.60 = 6,460.32 : x
  2. Step 2: Convert to fraction form
    11,765.46/16,236.60 = 6,460.32/x
  3. Step 3: Cross multiply
    11,765.46x = 16,236.60 × 6,460.32
  4. Step 4: Simplify right side
    11,765.46x = 104,893,631.71
  5. Step 5: Solve for x
    x = 104,893,631.71/11,765.46
  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.