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Finding the Fourth Proportional to 10,732.73, 16,089.50 and 5,464.80

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Solution

The fourth proportional to 10,732.73, 16,089.50 and 5,464.80 is: 8,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.73 : 16,089.50 = 5,464.80 : x
  2. Step 2: Convert to fraction form
    10,732.73/16,089.50 = 5,464.80/x
  3. Step 3: Cross multiply
    10,732.73x = 16,089.50 × 5,464.80
  4. Step 4: Simplify right side
    10,732.73x = 87,925,913.26
  5. Step 5: Solve for x
    x = 87,925,913.26/10,732.73
  6. Step 6: Final answer
    x = 8,192.32

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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.