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Finding the Fourth Proportional to 7,554.14, 10,424.14 and 4,196.90

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Solution

The fourth proportional to 7,554.14, 10,424.14 and 4,196.90 is: 5,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,554.14 : 10,424.14 = 4,196.90 : x
  2. Step 2: Convert to fraction form
    7,554.14/10,424.14 = 4,196.90/x
  3. Step 3: Cross multiply
    7,554.14x = 10,424.14 × 4,196.90
  4. Step 4: Simplify right side
    7,554.14x = 43,749,010.55
  5. Step 5: Solve for x
    x = 43,749,010.55/7,554.14
  6. Step 6: Final answer
    x = 5,791.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.