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Finding the Fourth Proportional to 7,216.68, 10,826.41 and 2,774.01

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Solution

The fourth proportional to 7,216.68, 10,826.41 and 2,774.01 is: 4,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.68 : 10,826.41 = 2,774.01 : x
  2. Step 2: Convert to fraction form
    7,216.68/10,826.41 = 2,774.01/x
  3. Step 3: Cross multiply
    7,216.68x = 10,826.41 × 2,774.01
  4. Step 4: Simplify right side
    7,216.68x = 30,032,569.60
  5. Step 5: Solve for x
    x = 30,032,569.60/7,216.68
  6. Step 6: Final answer
    x = 4,161.55

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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.