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Finding the Fourth Proportional to 7,738.01, 10,678.47 and 4,201.22

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Solution

The fourth proportional to 7,738.01, 10,678.47 and 4,201.22 is: 5,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.01 : 10,678.47 = 4,201.22 : x
  2. Step 2: Convert to fraction form
    7,738.01/10,678.47 = 4,201.22/x
  3. Step 3: Cross multiply
    7,738.01x = 10,678.47 × 4,201.22
  4. Step 4: Simplify right side
    7,738.01x = 44,862,548.34
  5. Step 5: Solve for x
    x = 44,862,548.34/7,738.01
  6. Step 6: Final answer
    x = 5,797.69

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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.