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Finding the Fourth Proportional to 5,411.28, 8,116.56 and 5,050.56

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Solution

The fourth proportional to 5,411.28, 8,116.56 and 5,050.56 is: 7,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.28 : 8,116.56 = 5,050.56 : x
  2. Step 2: Convert to fraction form
    5,411.28/8,116.56 = 5,050.56/x
  3. Step 3: Cross multiply
    5,411.28x = 8,116.56 × 5,050.56
  4. Step 4: Simplify right side
    5,411.28x = 40,993,173.27
  5. Step 5: Solve for x
    x = 40,993,173.27/5,411.28
  6. Step 6: Final answer
    x = 7,575.50

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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.