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Finding the Fourth Proportional to 6,817.34, 10,216.25 and 5,424.40

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Solution

The fourth proportional to 6,817.34, 10,216.25 and 5,424.40 is: 8,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.34 : 10,216.25 = 5,424.40 : x
  2. Step 2: Convert to fraction form
    6,817.34/10,216.25 = 5,424.40/x
  3. Step 3: Cross multiply
    6,817.34x = 10,216.25 × 5,424.40
  4. Step 4: Simplify right side
    6,817.34x = 55,417,026.50
  5. Step 5: Solve for x
    x = 55,417,026.50/6,817.34
  6. Step 6: Final answer
    x = 8,128.83

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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.