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Finding the Fourth Proportional to 6,033.32, 8,311.11 and 5,246

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Solution

The fourth proportional to 6,033.32, 8,311.11 and 5,246 is: 7,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.32 : 8,311.11 = 5,246 : x
  2. Step 2: Convert to fraction form
    6,033.32/8,311.11 = 5,246/x
  3. Step 3: Cross multiply
    6,033.32x = 8,311.11 × 5,246
  4. Step 4: Simplify right side
    6,033.32x = 43,600,083.06
  5. Step 5: Solve for x
    x = 43,600,083.06/6,033.32
  6. Step 6: Final answer
    x = 7,226.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.