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Finding the Fourth Proportional to 11,758.63, 17,636.87 and 3,967.51

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Solution

The fourth proportional to 11,758.63, 17,636.87 and 3,967.51 is: 5,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.63 : 17,636.87 = 3,967.51 : x
  2. Step 2: Convert to fraction form
    11,758.63/17,636.87 = 3,967.51/x
  3. Step 3: Cross multiply
    11,758.63x = 17,636.87 × 3,967.51
  4. Step 4: Simplify right side
    11,758.63x = 69,974,438.26
  5. Step 5: Solve for x
    x = 69,974,438.26/11,758.63
  6. Step 6: Final answer
    x = 5,950.90

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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.