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Finding the Fourth Proportional to 7,419.76, 10,238.49 and 4,232.81

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Solution

The fourth proportional to 7,419.76, 10,238.49 and 4,232.81 is: 5,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.76 : 10,238.49 = 4,232.81 : x
  2. Step 2: Convert to fraction form
    7,419.76/10,238.49 = 4,232.81/x
  3. Step 3: Cross multiply
    7,419.76x = 10,238.49 × 4,232.81
  4. Step 4: Simplify right side
    7,419.76x = 43,337,608.45
  5. Step 5: Solve for x
    x = 43,337,608.45/7,419.76
  6. Step 6: Final answer
    x = 5,840.84

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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.