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Finding the Fourth Proportional to 11,025.28, 16,505.08 and 7,314.64

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Solution

The fourth proportional to 11,025.28, 16,505.08 and 7,314.64 is: 10,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,025.28 : 16,505.08 = 7,314.64 : x
  2. Step 2: Convert to fraction form
    11,025.28/16,505.08 = 7,314.64/x
  3. Step 3: Cross multiply
    11,025.28x = 16,505.08 × 7,314.64
  4. Step 4: Simplify right side
    11,025.28x = 120,728,718.37
  5. Step 5: Solve for x
    x = 120,728,718.37/11,025.28
  6. Step 6: Final answer
    x = 10,950.17

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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.