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Finding the Fourth Proportional to 11,690.84, 17,533.62 and 3,368.96

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Solution

The fourth proportional to 11,690.84, 17,533.62 and 3,368.96 is: 5,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.84 : 17,533.62 = 3,368.96 : x
  2. Step 2: Convert to fraction form
    11,690.84/17,533.62 = 3,368.96/x
  3. Step 3: Cross multiply
    11,690.84x = 17,533.62 × 3,368.96
  4. Step 4: Simplify right side
    11,690.84x = 59,070,064.44
  5. Step 5: Solve for x
    x = 59,070,064.44/11,690.84
  6. Step 6: Final answer
    x = 5,052.68

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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.