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Finding the Fourth Proportional to 11,830.48, 17,743.21 and 4,435.48

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Solution

The fourth proportional to 11,830.48, 17,743.21 and 4,435.48 is: 6,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.48 : 17,743.21 = 4,435.48 : x
  2. Step 2: Convert to fraction form
    11,830.48/17,743.21 = 4,435.48/x
  3. Step 3: Cross multiply
    11,830.48x = 17,743.21 × 4,435.48
  4. Step 4: Simplify right side
    11,830.48x = 78,699,597.64
  5. Step 5: Solve for x
    x = 78,699,597.64/11,830.48
  6. Step 6: Final answer
    x = 6,652.28

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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.