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Finding the Fourth Proportional to 11,455.74, 15,809.67 and 6,419.79

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Solution

The fourth proportional to 11,455.74, 15,809.67 and 6,419.79 is: 8,859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.74 : 15,809.67 = 6,419.79 : x
  2. Step 2: Convert to fraction form
    11,455.74/15,809.67 = 6,419.79/x
  3. Step 3: Cross multiply
    11,455.74x = 15,809.67 × 6,419.79
  4. Step 4: Simplify right side
    11,455.74x = 101,494,761.37
  5. Step 5: Solve for x
    x = 101,494,761.37/11,455.74
  6. Step 6: Final answer
    x = 8,859.73

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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.