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Finding the Fourth Proportional to 10,772.94, 16,162.05 and 4,533.42

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Solution

The fourth proportional to 10,772.94, 16,162.05 and 4,533.42 is: 6,801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.94 : 16,162.05 = 4,533.42 : x
  2. Step 2: Convert to fraction form
    10,772.94/16,162.05 = 4,533.42/x
  3. Step 3: Cross multiply
    10,772.94x = 16,162.05 × 4,533.42
  4. Step 4: Simplify right side
    10,772.94x = 73,269,360.71
  5. Step 5: Solve for x
    x = 73,269,360.71/10,772.94
  6. Step 6: Final answer
    x = 6,801.24

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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.