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Finding the Fourth Proportional to 11,671.71, 17,507.54 and 2,906.64

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Solution

The fourth proportional to 11,671.71, 17,507.54 and 2,906.64 is: 4,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.71 : 17,507.54 = 2,906.64 : x
  2. Step 2: Convert to fraction form
    11,671.71/17,507.54 = 2,906.64/x
  3. Step 3: Cross multiply
    11,671.71x = 17,507.54 × 2,906.64
  4. Step 4: Simplify right side
    11,671.71x = 50,888,101.53
  5. Step 5: Solve for x
    x = 50,888,101.53/11,671.71
  6. Step 6: Final answer
    x = 4,359.95

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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.