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Finding the Fourth Proportional to 7,519.78, 11,300.10 and 4,012.23

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Solution

The fourth proportional to 7,519.78, 11,300.10 and 4,012.23 is: 6,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,519.78 : 11,300.10 = 4,012.23 : x
  2. Step 2: Convert to fraction form
    7,519.78/11,300.10 = 4,012.23/x
  3. Step 3: Cross multiply
    7,519.78x = 11,300.10 × 4,012.23
  4. Step 4: Simplify right side
    7,519.78x = 45,338,600.22
  5. Step 5: Solve for x
    x = 45,338,600.22/7,519.78
  6. Step 6: Final answer
    x = 6,029.25

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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.