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Finding the Fourth Proportional to 11,797.12, 17,696.68 and 3,032

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Solution

The fourth proportional to 11,797.12, 17,696.68 and 3,032 is: 4,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.12 : 17,696.68 = 3,032 : x
  2. Step 2: Convert to fraction form
    11,797.12/17,696.68 = 3,032/x
  3. Step 3: Cross multiply
    11,797.12x = 17,696.68 × 3,032
  4. Step 4: Simplify right side
    11,797.12x = 53,656,333.76
  5. Step 5: Solve for x
    x = 53,656,333.76/11,797.12
  6. Step 6: Final answer
    x = 4,548.26

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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.