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Finding the Fourth Proportional to 8,192.90, 12,288.15 and 4,031.80

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Solution

The fourth proportional to 8,192.90, 12,288.15 and 4,031.80 is: 6,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.90 : 12,288.15 = 4,031.80 : x
  2. Step 2: Convert to fraction form
    8,192.90/12,288.15 = 4,031.80/x
  3. Step 3: Cross multiply
    8,192.90x = 12,288.15 × 4,031.80
  4. Step 4: Simplify right side
    8,192.90x = 49,543,363.17
  5. Step 5: Solve for x
    x = 49,543,363.17/8,192.90
  6. Step 6: Final answer
    x = 6,047.11

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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.