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Finding the Fourth Proportional to 12,702.78, 19,042.80 and 4,909.80

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Solution

The fourth proportional to 12,702.78, 19,042.80 and 4,909.80 is: 7,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.78 : 19,042.80 = 4,909.80 : x
  2. Step 2: Convert to fraction form
    12,702.78/19,042.80 = 4,909.80/x
  3. Step 3: Cross multiply
    12,702.78x = 19,042.80 × 4,909.80
  4. Step 4: Simplify right side
    12,702.78x = 93,496,339.44
  5. Step 5: Solve for x
    x = 93,496,339.44/12,702.78
  6. Step 6: Final answer
    x = 7,360.31

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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.