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Finding the Fourth Proportional to 11,671.24, 17,507.94 and 4,649.55

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Solution

The fourth proportional to 11,671.24, 17,507.94 and 4,649.55 is: 6,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.24 : 17,507.94 = 4,649.55 : x
  2. Step 2: Convert to fraction form
    11,671.24/17,507.94 = 4,649.55/x
  3. Step 3: Cross multiply
    11,671.24x = 17,507.94 × 4,649.55
  4. Step 4: Simplify right side
    11,671.24x = 81,403,954.89
  5. Step 5: Solve for x
    x = 81,403,954.89/11,671.24
  6. Step 6: Final answer
    x = 6,974.75

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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.