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Finding the Fourth Proportional to 11,695.04, 17,544 and 3,904.64

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Solution

The fourth proportional to 11,695.04, 17,544 and 3,904.64 is: 5,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.04 : 17,544 = 3,904.64 : x
  2. Step 2: Convert to fraction form
    11,695.04/17,544 = 3,904.64/x
  3. Step 3: Cross multiply
    11,695.04x = 17,544 × 3,904.64
  4. Step 4: Simplify right side
    11,695.04x = 68,503,004.16
  5. Step 5: Solve for x
    x = 68,503,004.16/11,695.04
  6. Step 6: Final answer
    x = 5,857.44

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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.