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Finding the Fourth Proportional to 11,628.72, 16,046.69 and 6,848.84

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Solution

The fourth proportional to 11,628.72, 16,046.69 and 6,848.84 is: 9,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.72 : 16,046.69 = 6,848.84 : x
  2. Step 2: Convert to fraction form
    11,628.72/16,046.69 = 6,848.84/x
  3. Step 3: Cross multiply
    11,628.72x = 16,046.69 × 6,848.84
  4. Step 4: Simplify right side
    11,628.72x = 109,901,218.21
  5. Step 5: Solve for x
    x = 109,901,218.21/11,628.72
  6. Step 6: Final answer
    x = 9,450.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.