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Finding the Fourth Proportional to 11,314.53, 16,971.21 and 3,919.14

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Solution

The fourth proportional to 11,314.53, 16,971.21 and 3,919.14 is: 5,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.53 : 16,971.21 = 3,919.14 : x
  2. Step 2: Convert to fraction form
    11,314.53/16,971.21 = 3,919.14/x
  3. Step 3: Cross multiply
    11,314.53x = 16,971.21 × 3,919.14
  4. Step 4: Simplify right side
    11,314.53x = 66,512,547.96
  5. Step 5: Solve for x
    x = 66,512,547.96/11,314.53
  6. Step 6: Final answer
    x = 5,878.51

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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.