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Finding the Fourth Proportional to 11,837.16, 17,754 and 3,515.63

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Solution

The fourth proportional to 11,837.16, 17,754 and 3,515.63 is: 5,272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.16 : 17,754 = 3,515.63 : x
  2. Step 2: Convert to fraction form
    11,837.16/17,754 = 3,515.63/x
  3. Step 3: Cross multiply
    11,837.16x = 17,754 × 3,515.63
  4. Step 4: Simplify right side
    11,837.16x = 62,416,406.25
  5. Step 5: Solve for x
    x = 62,416,406.25/11,837.16
  6. Step 6: Final answer
    x = 5,272.92

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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.