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Finding the Fourth Proportional to 8,596.80, 12,897.36 and 3,402

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Solution

The fourth proportional to 8,596.80, 12,897.36 and 3,402 is: 5,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.80 : 12,897.36 = 3,402 : x
  2. Step 2: Convert to fraction form
    8,596.80/12,897.36 = 3,402/x
  3. Step 3: Cross multiply
    8,596.80x = 12,897.36 × 3,402
  4. Step 4: Simplify right side
    8,596.80x = 43,876,818.72
  5. Step 5: Solve for x
    x = 43,876,818.72/8,596.80
  6. Step 6: Final answer
    x = 5,103.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.