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Finding the Fourth Proportional to 12,084.72, 16,677.60 and 6,780

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Solution

The fourth proportional to 12,084.72, 16,677.60 and 6,780 is: 9,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.72 : 16,677.60 = 6,780 : x
  2. Step 2: Convert to fraction form
    12,084.72/16,677.60 = 6,780/x
  3. Step 3: Cross multiply
    12,084.72x = 16,677.60 × 6,780
  4. Step 4: Simplify right side
    12,084.72x = 113,074,128.00
  5. Step 5: Solve for x
    x = 113,074,128.00/12,084.72
  6. Step 6: Final answer
    x = 9,356.79

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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.