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Finding the Fourth Proportional to 11,751.13, 17,624.69 and 3,853.49

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Solution

The fourth proportional to 11,751.13, 17,624.69 and 3,853.49 is: 5,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.13 : 17,624.69 = 3,853.49 : x
  2. Step 2: Convert to fraction form
    11,751.13/17,624.69 = 3,853.49/x
  3. Step 3: Cross multiply
    11,751.13x = 17,624.69 × 3,853.49
  4. Step 4: Simplify right side
    11,751.13x = 67,916,566.67
  5. Step 5: Solve for x
    x = 67,916,566.67/11,751.13
  6. Step 6: Final answer
    x = 5,779.58

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