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Finding the Fourth Proportional to 12,084.96, 16,677.60 and 6,779.70

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Solution

The fourth proportional to 12,084.96, 16,677.60 and 6,779.70 is: 9,356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.96 : 16,677.60 = 6,779.70 : x
  2. Step 2: Convert to fraction form
    12,084.96/16,677.60 = 6,779.70/x
  3. Step 3: Cross multiply
    12,084.96x = 16,677.60 × 6,779.70
  4. Step 4: Simplify right side
    12,084.96x = 113,069,124.72
  5. Step 5: Solve for x
    x = 113,069,124.72/12,084.96
  6. Step 6: Final answer
    x = 9,356.19

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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.