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Finding the Fourth Proportional to 11,651.65, 17,473.62 and 4,633.40

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Solution

The fourth proportional to 11,651.65, 17,473.62 and 4,633.40 is: 6,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.65 : 17,473.62 = 4,633.40 : x
  2. Step 2: Convert to fraction form
    11,651.65/17,473.62 = 4,633.40/x
  3. Step 3: Cross multiply
    11,651.65x = 17,473.62 × 4,633.40
  4. Step 4: Simplify right side
    11,651.65x = 80,962,331.97
  5. Step 5: Solve for x
    x = 80,962,331.97/11,651.65
  6. Step 6: Final answer
    x = 6,948.57

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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.