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Finding the Fourth Proportional to 10,950.08, 16,424.96 and 7,431.35

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Solution

The fourth proportional to 10,950.08, 16,424.96 and 7,431.35 is: 11,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.08 : 16,424.96 = 7,431.35 : x
  2. Step 2: Convert to fraction form
    10,950.08/16,424.96 = 7,431.35/x
  3. Step 3: Cross multiply
    10,950.08x = 16,424.96 × 7,431.35
  4. Step 4: Simplify right side
    10,950.08x = 122,059,507.21
  5. Step 5: Solve for x
    x = 122,059,507.21/10,950.08
  6. Step 6: Final answer
    x = 11,146.91

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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.