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Finding the Fourth Proportional to 10,762.30, 16,120.77 and 4,923.82

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Solution

The fourth proportional to 10,762.30, 16,120.77 and 4,923.82 is: 7,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.30 : 16,120.77 = 4,923.82 : x
  2. Step 2: Convert to fraction form
    10,762.30/16,120.77 = 4,923.82/x
  3. Step 3: Cross multiply
    10,762.30x = 16,120.77 × 4,923.82
  4. Step 4: Simplify right side
    10,762.30x = 79,375,769.74
  5. Step 5: Solve for x
    x = 79,375,769.74/10,762.30
  6. Step 6: Final answer
    x = 7,375.35

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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.