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Finding the Fourth Proportional to 10,950.56, 16,428 and 3,553.64

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Solution

The fourth proportional to 10,950.56, 16,428 and 3,553.64 is: 5,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.56 : 16,428 = 3,553.64 : x
  2. Step 2: Convert to fraction form
    10,950.56/16,428 = 3,553.64/x
  3. Step 3: Cross multiply
    10,950.56x = 16,428 × 3,553.64
  4. Step 4: Simplify right side
    10,950.56x = 58,379,197.92
  5. Step 5: Solve for x
    x = 58,379,197.92/10,950.56
  6. Step 6: Final answer
    x = 5,331.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.