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Finding the Fourth Proportional to 11,911.74, 17,870.04 and 4,121.16

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Solution

The fourth proportional to 11,911.74, 17,870.04 and 4,121.16 is: 6,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.74 : 17,870.04 = 4,121.16 : x
  2. Step 2: Convert to fraction form
    11,911.74/17,870.04 = 4,121.16/x
  3. Step 3: Cross multiply
    11,911.74x = 17,870.04 × 4,121.16
  4. Step 4: Simplify right side
    11,911.74x = 73,645,294.05
  5. Step 5: Solve for x
    x = 73,645,294.05/11,911.74
  6. Step 6: Final answer
    x = 6,182.58

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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.