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Finding the Fourth Proportional to 10,827.88, 14,940.65 and 6,578.21

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Solution

The fourth proportional to 10,827.88, 14,940.65 and 6,578.21 is: 9,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.88 : 14,940.65 = 6,578.21 : x
  2. Step 2: Convert to fraction form
    10,827.88/14,940.65 = 6,578.21/x
  3. Step 3: Cross multiply
    10,827.88x = 14,940.65 × 6,578.21
  4. Step 4: Simplify right side
    10,827.88x = 98,282,787.03
  5. Step 5: Solve for x
    x = 98,282,787.03/10,827.88
  6. Step 6: Final answer
    x = 9,076.83

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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.