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Finding the Fourth Proportional to 7,102.31, 10,653.05 and 2,171.84

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Solution

The fourth proportional to 7,102.31, 10,653.05 and 2,171.84 is: 3,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.31 : 10,653.05 = 2,171.84 : x
  2. Step 2: Convert to fraction form
    7,102.31/10,653.05 = 2,171.84/x
  3. Step 3: Cross multiply
    7,102.31x = 10,653.05 × 2,171.84
  4. Step 4: Simplify right side
    7,102.31x = 23,136,672.28
  5. Step 5: Solve for x
    x = 23,136,672.28/7,102.31
  6. Step 6: Final answer
    x = 3,257.63

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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.