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Finding the Fourth Proportional to 11,763.60, 17,646.93 and 3,863.40

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Solution

The fourth proportional to 11,763.60, 17,646.93 and 3,863.40 is: 5,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.60 : 17,646.93 = 3,863.40 : x
  2. Step 2: Convert to fraction form
    11,763.60/17,646.93 = 3,863.40/x
  3. Step 3: Cross multiply
    11,763.60x = 17,646.93 × 3,863.40
  4. Step 4: Simplify right side
    11,763.60x = 68,177,149.36
  5. Step 5: Solve for x
    x = 68,177,149.36/11,763.60
  6. Step 6: Final answer
    x = 5,795.60

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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.