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Finding the Fourth Proportional to 11,045.44, 16,571.76 and 5,202.64

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Solution

The fourth proportional to 11,045.44, 16,571.76 and 5,202.64 is: 7,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,045.44 : 16,571.76 = 5,202.64 : x
  2. Step 2: Convert to fraction form
    11,045.44/16,571.76 = 5,202.64/x
  3. Step 3: Cross multiply
    11,045.44x = 16,571.76 × 5,202.64
  4. Step 4: Simplify right side
    11,045.44x = 86,216,901.45
  5. Step 5: Solve for x
    x = 86,216,901.45/11,045.44
  6. Step 6: Final answer
    x = 7,805.66

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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.