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Finding the Fourth Proportional to 10,892.21, 16,338.31 and 7,611.71

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Solution

The fourth proportional to 10,892.21, 16,338.31 and 7,611.71 is: 11,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.21 : 16,338.31 = 7,611.71 : x
  2. Step 2: Convert to fraction form
    10,892.21/16,338.31 = 7,611.71/x
  3. Step 3: Cross multiply
    10,892.21x = 16,338.31 × 7,611.71
  4. Step 4: Simplify right side
    10,892.21x = 124,362,376.89
  5. Step 5: Solve for x
    x = 124,362,376.89/10,892.21
  6. Step 6: Final answer
    x = 11,417.56

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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.