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Finding the Fourth Proportional to 11,643.08, 17,464.59 and 3,851.89

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Solution

The fourth proportional to 11,643.08, 17,464.59 and 3,851.89 is: 5,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.08 : 17,464.59 = 3,851.89 : x
  2. Step 2: Convert to fraction form
    11,643.08/17,464.59 = 3,851.89/x
  3. Step 3: Cross multiply
    11,643.08x = 17,464.59 × 3,851.89
  4. Step 4: Simplify right side
    11,643.08x = 67,271,635.91
  5. Step 5: Solve for x
    x = 67,271,635.91/11,643.08
  6. Step 6: Final answer
    x = 5,777.82

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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.