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Finding the Fourth Proportional to 11,969.30, 17,956.69 and 5,730.89

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Solution

The fourth proportional to 11,969.30, 17,956.69 and 5,730.89 is: 8,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.30 : 17,956.69 = 5,730.89 : x
  2. Step 2: Convert to fraction form
    11,969.30/17,956.69 = 5,730.89/x
  3. Step 3: Cross multiply
    11,969.30x = 17,956.69 × 5,730.89
  4. Step 4: Simplify right side
    11,969.30x = 102,907,711.04
  5. Step 5: Solve for x
    x = 102,907,711.04/11,969.30
  6. Step 6: Final answer
    x = 8,597.64

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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.