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Finding the Fourth Proportional to 11,835, 17,752.64 and 3,069.38

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Solution

The fourth proportional to 11,835, 17,752.64 and 3,069.38 is: 4,604.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835 : 17,752.64 = 3,069.38 : x
  2. Step 2: Convert to fraction form
    11,835/17,752.64 = 3,069.38/x
  3. Step 3: Cross multiply
    11,835x = 17,752.64 × 3,069.38
  4. Step 4: Simplify right side
    11,835x = 54,489,627.20
  5. Step 5: Solve for x
    x = 54,489,627.20/11,835
  6. Step 6: Final answer
    x = 4,604.11

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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.