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Finding the Fourth Proportional to 7,483.90, 10,327.70 and 4,297.27

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Solution

The fourth proportional to 7,483.90, 10,327.70 and 4,297.27 is: 5,930.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483.90 : 10,327.70 = 4,297.27 : x
  2. Step 2: Convert to fraction form
    7,483.90/10,327.70 = 4,297.27/x
  3. Step 3: Cross multiply
    7,483.90x = 10,327.70 × 4,297.27
  4. Step 4: Simplify right side
    7,483.90x = 44,380,915.38
  5. Step 5: Solve for x
    x = 44,380,915.38/7,483.90
  6. Step 6: Final answer
    x = 5,930.19

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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.