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Finding the Fourth Proportional to 8,702.40, 13,060.80 and 4,029.60

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Solution

The fourth proportional to 8,702.40, 13,060.80 and 4,029.60 is: 6,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.40 : 13,060.80 = 4,029.60 : x
  2. Step 2: Convert to fraction form
    8,702.40/13,060.80 = 4,029.60/x
  3. Step 3: Cross multiply
    8,702.40x = 13,060.80 × 4,029.60
  4. Step 4: Simplify right side
    8,702.40x = 52,629,799.68
  5. Step 5: Solve for x
    x = 52,629,799.68/8,702.40
  6. Step 6: Final answer
    x = 6,047.73

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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.