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Finding the Fourth Proportional to 11,774.32, 17,661.57 and 3,454.47

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Solution

The fourth proportional to 11,774.32, 17,661.57 and 3,454.47 is: 5,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.32 : 17,661.57 = 3,454.47 : x
  2. Step 2: Convert to fraction form
    11,774.32/17,661.57 = 3,454.47/x
  3. Step 3: Cross multiply
    11,774.32x = 17,661.57 × 3,454.47
  4. Step 4: Simplify right side
    11,774.32x = 61,011,376.67
  5. Step 5: Solve for x
    x = 61,011,376.67/11,774.32
  6. Step 6: Final answer
    x = 5,181.73

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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.