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Finding the Fourth Proportional to 7,216.50, 10,820.08 and 4,743.82

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Solution

The fourth proportional to 7,216.50, 10,820.08 and 4,743.82 is: 7,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.50 : 10,820.08 = 4,743.82 : x
  2. Step 2: Convert to fraction form
    7,216.50/10,820.08 = 4,743.82/x
  3. Step 3: Cross multiply
    7,216.50x = 10,820.08 × 4,743.82
  4. Step 4: Simplify right side
    7,216.50x = 51,328,511.91
  5. Step 5: Solve for x
    x = 51,328,511.91/7,216.50
  6. Step 6: Final answer
    x = 7,112.66

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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.