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Finding the Fourth Proportional to 6,826.16, 10,236.72 and 5,368.16

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Solution

The fourth proportional to 6,826.16, 10,236.72 and 5,368.16 is: 8,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.16 : 10,236.72 = 5,368.16 : x
  2. Step 2: Convert to fraction form
    6,826.16/10,236.72 = 5,368.16/x
  3. Step 3: Cross multiply
    6,826.16x = 10,236.72 × 5,368.16
  4. Step 4: Simplify right side
    6,826.16x = 54,952,350.84
  5. Step 5: Solve for x
    x = 54,952,350.84/6,826.16
  6. Step 6: Final answer
    x = 8,050.26

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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.