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Finding the Fourth Proportional to 10,957.54, 16,440.45 and 6,578.05

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Solution

The fourth proportional to 10,957.54, 16,440.45 and 6,578.05 is: 9,869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.54 : 16,440.45 = 6,578.05 : x
  2. Step 2: Convert to fraction form
    10,957.54/16,440.45 = 6,578.05/x
  3. Step 3: Cross multiply
    10,957.54x = 16,440.45 × 6,578.05
  4. Step 4: Simplify right side
    10,957.54x = 108,145,987.03
  5. Step 5: Solve for x
    x = 108,145,987.03/10,957.54
  6. Step 6: Final answer
    x = 9,869.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.