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Finding the Fourth Proportional to 5,763.63, 8,632.79 and 4,765.13

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Solution

The fourth proportional to 5,763.63, 8,632.79 and 4,765.13 is: 7,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.63 : 8,632.79 = 4,765.13 : x
  2. Step 2: Convert to fraction form
    5,763.63/8,632.79 = 4,765.13/x
  3. Step 3: Cross multiply
    5,763.63x = 8,632.79 × 4,765.13
  4. Step 4: Simplify right side
    5,763.63x = 41,136,299.62
  5. Step 5: Solve for x
    x = 41,136,299.62/5,763.63
  6. Step 6: Final answer
    x = 7,137.22

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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.