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Finding the Fourth Proportional to 11,828.72, 17,754.83 and 6,282.11

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Solution

The fourth proportional to 11,828.72, 17,754.83 and 6,282.11 is: 9,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.72 : 17,754.83 = 6,282.11 : x
  2. Step 2: Convert to fraction form
    11,828.72/17,754.83 = 6,282.11/x
  3. Step 3: Cross multiply
    11,828.72x = 17,754.83 × 6,282.11
  4. Step 4: Simplify right side
    11,828.72x = 111,537,808.07
  5. Step 5: Solve for x
    x = 111,537,808.07/11,828.72
  6. Step 6: Final answer
    x = 9,429.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.