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Finding the Fourth Proportional to 10,762.44, 16,147.80 and 4,193.25

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Solution

The fourth proportional to 10,762.44, 16,147.80 and 4,193.25 is: 6,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.44 : 16,147.80 = 4,193.25 : x
  2. Step 2: Convert to fraction form
    10,762.44/16,147.80 = 4,193.25/x
  3. Step 3: Cross multiply
    10,762.44x = 16,147.80 × 4,193.25
  4. Step 4: Simplify right side
    10,762.44x = 67,711,762.35
  5. Step 5: Solve for x
    x = 67,711,762.35/10,762.44
  6. Step 6: Final answer
    x = 6,291.49

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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.