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Finding the Fourth Proportional to 11,523.63, 15,903.37 and 6,419.97

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Solution

The fourth proportional to 11,523.63, 15,903.37 and 6,419.97 is: 8,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.63 : 15,903.37 = 6,419.97 : x
  2. Step 2: Convert to fraction form
    11,523.63/15,903.37 = 6,419.97/x
  3. Step 3: Cross multiply
    11,523.63x = 15,903.37 × 6,419.97
  4. Step 4: Simplify right side
    11,523.63x = 102,099,166.32
  5. Step 5: Solve for x
    x = 102,099,166.32/11,523.63
  6. Step 6: Final answer
    x = 8,859.98

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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.