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Finding the Fourth Proportional to 7,691.63, 11,529.18 and 3,992.94

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Solution

The fourth proportional to 7,691.63, 11,529.18 and 3,992.94 is: 5,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.63 : 11,529.18 = 3,992.94 : x
  2. Step 2: Convert to fraction form
    7,691.63/11,529.18 = 3,992.94/x
  3. Step 3: Cross multiply
    7,691.63x = 11,529.18 × 3,992.94
  4. Step 4: Simplify right side
    7,691.63x = 46,035,323.99
  5. Step 5: Solve for x
    x = 46,035,323.99/7,691.63
  6. Step 6: Final answer
    x = 5,985.12

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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.