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Finding the Fourth Proportional to 11,612.96, 16,024.08 and 6,644

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Solution

The fourth proportional to 11,612.96, 16,024.08 and 6,644 is: 9,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.96 : 16,024.08 = 6,644 : x
  2. Step 2: Convert to fraction form
    11,612.96/16,024.08 = 6,644/x
  3. Step 3: Cross multiply
    11,612.96x = 16,024.08 × 6,644
  4. Step 4: Simplify right side
    11,612.96x = 106,463,987.52
  5. Step 5: Solve for x
    x = 106,463,987.52/11,612.96
  6. Step 6: Final answer
    x = 9,167.69

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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.