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Finding the Fourth Proportional to 8,449.47, 11,659.67 and 4,671.94

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Solution

The fourth proportional to 8,449.47, 11,659.67 and 4,671.94 is: 6,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.47 : 11,659.67 = 4,671.94 : x
  2. Step 2: Convert to fraction form
    8,449.47/11,659.67 = 4,671.94/x
  3. Step 3: Cross multiply
    8,449.47x = 11,659.67 × 4,671.94
  4. Step 4: Simplify right side
    8,449.47x = 54,473,226.15
  5. Step 5: Solve for x
    x = 54,473,226.15/8,449.47
  6. Step 6: Final answer
    x = 6,446.94

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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.