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Finding the Fourth Proportional to 11,842.71, 17,759.00 and 4,442.04

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Solution

The fourth proportional to 11,842.71, 17,759.00 and 4,442.04 is: 6,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.71 : 17,759.00 = 4,442.04 : x
  2. Step 2: Convert to fraction form
    11,842.71/17,759.00 = 4,442.04/x
  3. Step 3: Cross multiply
    11,842.71x = 17,759.00 × 4,442.04
  4. Step 4: Simplify right side
    11,842.71x = 78,886,166.15
  5. Step 5: Solve for x
    x = 78,886,166.15/11,842.71
  6. Step 6: Final answer
    x = 6,661.16

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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.