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Finding the Fourth Proportional to 11,571.51, 17,353.67 and 4,175

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Solution

The fourth proportional to 11,571.51, 17,353.67 and 4,175 is: 6,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.51 : 17,353.67 = 4,175 : x
  2. Step 2: Convert to fraction form
    11,571.51/17,353.67 = 4,175/x
  3. Step 3: Cross multiply
    11,571.51x = 17,353.67 × 4,175
  4. Step 4: Simplify right side
    11,571.51x = 72,451,572.25
  5. Step 5: Solve for x
    x = 72,451,572.25/11,571.51
  6. Step 6: Final answer
    x = 6,261.20

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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.