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Finding the Fourth Proportional to 11,643.14, 17,464.54 and 2,878.06

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Solution

The fourth proportional to 11,643.14, 17,464.54 and 2,878.06 is: 4,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.14 : 17,464.54 = 2,878.06 : x
  2. Step 2: Convert to fraction form
    11,643.14/17,464.54 = 2,878.06/x
  3. Step 3: Cross multiply
    11,643.14x = 17,464.54 × 2,878.06
  4. Step 4: Simplify right side
    11,643.14x = 50,263,943.14
  5. Step 5: Solve for x
    x = 50,263,943.14/11,643.14
  6. Step 6: Final answer
    x = 4,317.04

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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.