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Finding the Fourth Proportional to 12,083.59, 16,675.68 and 6,778.57

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Solution

The fourth proportional to 12,083.59, 16,675.68 and 6,778.57 is: 9,354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.59 : 16,675.68 = 6,778.57 : x
  2. Step 2: Convert to fraction form
    12,083.59/16,675.68 = 6,778.57/x
  3. Step 3: Cross multiply
    12,083.59x = 16,675.68 × 6,778.57
  4. Step 4: Simplify right side
    12,083.59x = 113,037,264.18
  5. Step 5: Solve for x
    x = 113,037,264.18/12,083.59
  6. Step 6: Final answer
    x = 9,354.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.