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Finding the Fourth Proportional to 7,847.34, 10,829.25 and 4,310.46

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Solution

The fourth proportional to 7,847.34, 10,829.25 and 4,310.46 is: 5,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.34 : 10,829.25 = 4,310.46 : x
  2. Step 2: Convert to fraction form
    7,847.34/10,829.25 = 4,310.46/x
  3. Step 3: Cross multiply
    7,847.34x = 10,829.25 × 4,310.46
  4. Step 4: Simplify right side
    7,847.34x = 46,679,048.96
  5. Step 5: Solve for x
    x = 46,679,048.96/7,847.34
  6. Step 6: Final answer
    x = 5,948.39

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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.