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Finding the Fourth Proportional to 12,775.26, 19,164.69 and 5,375.10

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Solution

The fourth proportional to 12,775.26, 19,164.69 and 5,375.10 is: 8,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.26 : 19,164.69 = 5,375.10 : x
  2. Step 2: Convert to fraction form
    12,775.26/19,164.69 = 5,375.10/x
  3. Step 3: Cross multiply
    12,775.26x = 19,164.69 × 5,375.10
  4. Step 4: Simplify right side
    12,775.26x = 103,012,125.22
  5. Step 5: Solve for x
    x = 103,012,125.22/12,775.26
  6. Step 6: Final answer
    x = 8,063.41

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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.