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Finding the Fourth Proportional to 11,765.18, 16,234.99 and 6,460

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Solution

The fourth proportional to 11,765.18, 16,234.99 and 6,460 is: 8,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.18 : 16,234.99 = 6,460 : x
  2. Step 2: Convert to fraction form
    11,765.18/16,234.99 = 6,460/x
  3. Step 3: Cross multiply
    11,765.18x = 16,234.99 × 6,460
  4. Step 4: Simplify right side
    11,765.18x = 104,878,035.40
  5. Step 5: Solve for x
    x = 104,878,035.40/11,765.18
  6. Step 6: Final answer
    x = 8,914.27

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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.