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Finding the Fourth Proportional to 7,738.36, 10,678.98 and 4,201.63

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Solution

The fourth proportional to 7,738.36, 10,678.98 and 4,201.63 is: 5,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.36 : 10,678.98 = 4,201.63 : x
  2. Step 2: Convert to fraction form
    7,738.36/10,678.98 = 4,201.63/x
  3. Step 3: Cross multiply
    7,738.36x = 10,678.98 × 4,201.63
  4. Step 4: Simplify right side
    7,738.36x = 44,869,122.74
  5. Step 5: Solve for x
    x = 44,869,122.74/7,738.36
  6. Step 6: Final answer
    x = 5,798.27

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