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Finding the Fourth Proportional to 10,949.72, 16,424.48 and 7,431.02

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Solution

The fourth proportional to 10,949.72, 16,424.48 and 7,431.02 is: 11,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.72 : 16,424.48 = 7,431.02 : x
  2. Step 2: Convert to fraction form
    10,949.72/16,424.48 = 7,431.02/x
  3. Step 3: Cross multiply
    10,949.72x = 16,424.48 × 7,431.02
  4. Step 4: Simplify right side
    10,949.72x = 122,050,639.37
  5. Step 5: Solve for x
    x = 122,050,639.37/10,949.72
  6. Step 6: Final answer
    x = 11,146.46

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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.