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Finding the Fourth Proportional to 10,732, 16,099.44 and 4,577.44

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Solution

The fourth proportional to 10,732, 16,099.44 and 4,577.44 is: 6,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732 : 16,099.44 = 4,577.44 : x
  2. Step 2: Convert to fraction form
    10,732/16,099.44 = 4,577.44/x
  3. Step 3: Cross multiply
    10,732x = 16,099.44 × 4,577.44
  4. Step 4: Simplify right side
    10,732x = 73,694,220.63
  5. Step 5: Solve for x
    x = 73,694,220.63/10,732
  6. Step 6: Final answer
    x = 6,866.77

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Why These Related Problems?

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