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Finding the Fourth Proportional to 11,820.65, 17,733.61 and 5,158.23

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Solution

The fourth proportional to 11,820.65, 17,733.61 and 5,158.23 is: 7,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.65 : 17,733.61 = 5,158.23 : x
  2. Step 2: Convert to fraction form
    11,820.65/17,733.61 = 5,158.23/x
  3. Step 3: Cross multiply
    11,820.65x = 17,733.61 × 5,158.23
  4. Step 4: Simplify right side
    11,820.65x = 91,473,950.44
  5. Step 5: Solve for x
    x = 91,473,950.44/11,820.65
  6. Step 6: Final answer
    x = 7,738.49

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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.