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Finding the Fourth Proportional to 8,447.64, 12,671.30 and 2,207.16

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Solution

The fourth proportional to 8,447.64, 12,671.30 and 2,207.16 is: 3,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.64 : 12,671.30 = 2,207.16 : x
  2. Step 2: Convert to fraction form
    8,447.64/12,671.30 = 2,207.16/x
  3. Step 3: Cross multiply
    8,447.64x = 12,671.30 × 2,207.16
  4. Step 4: Simplify right side
    8,447.64x = 27,967,586.51
  5. Step 5: Solve for x
    x = 27,967,586.51/8,447.64
  6. Step 6: Final answer
    x = 3,310.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.