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Finding the Fourth Proportional to 11,663.46, 17,494.74 and 4,643.19

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Solution

The fourth proportional to 11,663.46, 17,494.74 and 4,643.19 is: 6,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.46 : 17,494.74 = 4,643.19 : x
  2. Step 2: Convert to fraction form
    11,663.46/17,494.74 = 4,643.19/x
  3. Step 3: Cross multiply
    11,663.46x = 17,494.74 × 4,643.19
  4. Step 4: Simplify right side
    11,663.46x = 81,231,401.82
  5. Step 5: Solve for x
    x = 81,231,401.82/11,663.46
  6. Step 6: Final answer
    x = 6,964.61

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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.