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Finding the Fourth Proportional to 8,627, 11,906.70 and 4,903.16

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Solution

The fourth proportional to 8,627, 11,906.70 and 4,903.16 is: 6,767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627 : 11,906.70 = 4,903.16 : x
  2. Step 2: Convert to fraction form
    8,627/11,906.70 = 4,903.16/x
  3. Step 3: Cross multiply
    8,627x = 11,906.70 × 4,903.16
  4. Step 4: Simplify right side
    8,627x = 58,380,455.17
  5. Step 5: Solve for x
    x = 58,380,455.17/8,627
  6. Step 6: Final answer
    x = 6,767.18

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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.