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Finding the Fourth Proportional to 11,804, 16,296.26 and 7,830.52

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Solution

The fourth proportional to 11,804, 16,296.26 and 7,830.52 is: 10,810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804 : 16,296.26 = 7,830.52 : x
  2. Step 2: Convert to fraction form
    11,804/16,296.26 = 7,830.52/x
  3. Step 3: Cross multiply
    11,804x = 16,296.26 × 7,830.52
  4. Step 4: Simplify right side
    11,804x = 127,608,189.86
  5. Step 5: Solve for x
    x = 127,608,189.86/11,804
  6. Step 6: Final answer
    x = 10,810.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.