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Finding the Fourth Proportional to 8,037.80, 12,042.30 and 6,885.80

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Solution

The fourth proportional to 8,037.80, 12,042.30 and 6,885.80 is: 10,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.80 : 12,042.30 = 6,885.80 : x
  2. Step 2: Convert to fraction form
    8,037.80/12,042.30 = 6,885.80/x
  3. Step 3: Cross multiply
    8,037.80x = 12,042.30 × 6,885.80
  4. Step 4: Simplify right side
    8,037.80x = 82,920,869.34
  5. Step 5: Solve for x
    x = 82,920,869.34/8,037.80
  6. Step 6: Final answer
    x = 10,316.36

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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.