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Finding the Fourth Proportional to 10,950.39, 16,420.32 and 7,665.03

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Solution

The fourth proportional to 10,950.39, 16,420.32 and 7,665.03 is: 11,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.39 : 16,420.32 = 7,665.03 : x
  2. Step 2: Convert to fraction form
    10,950.39/16,420.32 = 7,665.03/x
  3. Step 3: Cross multiply
    10,950.39x = 16,420.32 × 7,665.03
  4. Step 4: Simplify right side
    10,950.39x = 125,862,245.41
  5. Step 5: Solve for x
    x = 125,862,245.41/10,950.39
  6. Step 6: Final answer
    x = 11,493.86

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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.