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Finding the Fourth Proportional to 10,762.68, 16,143.30 and 3,367.74

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Solution

The fourth proportional to 10,762.68, 16,143.30 and 3,367.74 is: 5,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.68 : 16,143.30 = 3,367.74 : x
  2. Step 2: Convert to fraction form
    10,762.68/16,143.30 = 3,367.74/x
  3. Step 3: Cross multiply
    10,762.68x = 16,143.30 × 3,367.74
  4. Step 4: Simplify right side
    10,762.68x = 54,366,437.14
  5. Step 5: Solve for x
    x = 54,366,437.14/10,762.68
  6. Step 6: Final answer
    x = 5,051.38

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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.