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Finding the Fourth Proportional to 7,257.33, 10,014.83 and 4,113.45

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Solution

The fourth proportional to 7,257.33, 10,014.83 and 4,113.45 is: 5,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.33 : 10,014.83 = 4,113.45 : x
  2. Step 2: Convert to fraction form
    7,257.33/10,014.83 = 4,113.45/x
  3. Step 3: Cross multiply
    7,257.33x = 10,014.83 × 4,113.45
  4. Step 4: Simplify right side
    7,257.33x = 41,195,431.82
  5. Step 5: Solve for x
    x = 41,195,431.82/7,257.33
  6. Step 6: Final answer
    x = 5,676.39

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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.