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Finding the Fourth Proportional to 8,441.12, 11,649.16 and 5,084.96

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Solution

The fourth proportional to 8,441.12, 11,649.16 and 5,084.96 is: 7,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.12 : 11,649.16 = 5,084.96 : x
  2. Step 2: Convert to fraction form
    8,441.12/11,649.16 = 5,084.96/x
  3. Step 3: Cross multiply
    8,441.12x = 11,649.16 × 5,084.96
  4. Step 4: Simplify right side
    8,441.12x = 59,235,512.63
  5. Step 5: Solve for x
    x = 59,235,512.63/8,441.12
  6. Step 6: Final answer
    x = 7,017.49

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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.