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Finding the Fourth Proportional to 11,768.58, 16,238.88 and 6,732

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Solution

The fourth proportional to 11,768.58, 16,238.88 and 6,732 is: 9,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.58 : 16,238.88 = 6,732 : x
  2. Step 2: Convert to fraction form
    11,768.58/16,238.88 = 6,732/x
  3. Step 3: Cross multiply
    11,768.58x = 16,238.88 × 6,732
  4. Step 4: Simplify right side
    11,768.58x = 109,320,140.16
  5. Step 5: Solve for x
    x = 109,320,140.16/11,768.58
  6. Step 6: Final answer
    x = 9,289.15

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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.