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Finding the Fourth Proportional to 7,024.52, 10,536.77 and 1,830.39

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Solution

The fourth proportional to 7,024.52, 10,536.77 and 1,830.39 is: 2,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.52 : 10,536.77 = 1,830.39 : x
  2. Step 2: Convert to fraction form
    7,024.52/10,536.77 = 1,830.39/x
  3. Step 3: Cross multiply
    7,024.52x = 10,536.77 × 1,830.39
  4. Step 4: Simplify right side
    7,024.52x = 19,286,398.44
  5. Step 5: Solve for x
    x = 19,286,398.44/7,024.52
  6. Step 6: Final answer
    x = 2,745.58

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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.