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Finding the Fourth Proportional to 7,388.37, 10,192.72 and 4,698.15

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Solution

The fourth proportional to 7,388.37, 10,192.72 and 4,698.15 is: 6,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388.37 : 10,192.72 = 4,698.15 : x
  2. Step 2: Convert to fraction form
    7,388.37/10,192.72 = 4,698.15/x
  3. Step 3: Cross multiply
    7,388.37x = 10,192.72 × 4,698.15
  4. Step 4: Simplify right side
    7,388.37x = 47,886,927.47
  5. Step 5: Solve for x
    x = 47,886,927.47/7,388.37
  6. Step 6: Final answer
    x = 6,481.39

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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.