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Finding the Fourth Proportional to 8,443.42, 11,645.50 and 6,460.54

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Solution

The fourth proportional to 8,443.42, 11,645.50 and 6,460.54 is: 8,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.42 : 11,645.50 = 6,460.54 : x
  2. Step 2: Convert to fraction form
    8,443.42/11,645.50 = 6,460.54/x
  3. Step 3: Cross multiply
    8,443.42x = 11,645.50 × 6,460.54
  4. Step 4: Simplify right side
    8,443.42x = 75,236,218.57
  5. Step 5: Solve for x
    x = 75,236,218.57/8,443.42
  6. Step 6: Final answer
    x = 8,910.63

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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.