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Finding the Fourth Proportional to 11,455.53, 15,809.07 and 6,419.79

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Solution

The fourth proportional to 11,455.53, 15,809.07 and 6,419.79 is: 8,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.53 : 15,809.07 = 6,419.79 : x
  2. Step 2: Convert to fraction form
    11,455.53/15,809.07 = 6,419.79/x
  3. Step 3: Cross multiply
    11,455.53x = 15,809.07 × 6,419.79
  4. Step 4: Simplify right side
    11,455.53x = 101,490,933.57
  5. Step 5: Solve for x
    x = 101,490,933.57/11,455.53
  6. Step 6: Final answer
    x = 8,859.56

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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.