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Finding the Fourth Proportional to 12,235.40, 16,879.38 and 7,757.96

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Solution

The fourth proportional to 12,235.40, 16,879.38 and 7,757.96 is: 10,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.40 : 16,879.38 = 7,757.96 : x
  2. Step 2: Convert to fraction form
    12,235.40/16,879.38 = 7,757.96/x
  3. Step 3: Cross multiply
    12,235.40x = 16,879.38 × 7,757.96
  4. Step 4: Simplify right side
    12,235.40x = 130,949,554.86
  5. Step 5: Solve for x
    x = 130,949,554.86/12,235.40
  6. Step 6: Final answer
    x = 10,702.52

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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.