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Finding the Fourth Proportional to 11,045.20, 16,573.20 and 5,200.80

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Solution

The fourth proportional to 11,045.20, 16,573.20 and 5,200.80 is: 7,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,045.20 : 16,573.20 = 5,200.80 : x
  2. Step 2: Convert to fraction form
    11,045.20/16,573.20 = 5,200.80/x
  3. Step 3: Cross multiply
    11,045.20x = 16,573.20 × 5,200.80
  4. Step 4: Simplify right side
    11,045.20x = 86,193,898.56
  5. Step 5: Solve for x
    x = 86,193,898.56/11,045.20
  6. Step 6: Final answer
    x = 7,803.74

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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.