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Finding the Fourth Proportional to 12,084.92, 16,677.12 and 6,779.74

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Solution

The fourth proportional to 12,084.92, 16,677.12 and 6,779.74 is: 9,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.92 : 16,677.12 = 6,779.74 : x
  2. Step 2: Convert to fraction form
    12,084.92/16,677.12 = 6,779.74/x
  3. Step 3: Cross multiply
    12,084.92x = 16,677.12 × 6,779.74
  4. Step 4: Simplify right side
    12,084.92x = 113,066,537.55
  5. Step 5: Solve for x
    x = 113,066,537.55/12,084.92
  6. Step 6: Final answer
    x = 9,356.00

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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.