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Finding the Fourth Proportional to 10,732, 16,106.72 and 5,539.36

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Solution

The fourth proportional to 10,732, 16,106.72 and 5,539.36 is: 8,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732 : 16,106.72 = 5,539.36 : x
  2. Step 2: Convert to fraction form
    10,732/16,106.72 = 5,539.36/x
  3. Step 3: Cross multiply
    10,732x = 16,106.72 × 5,539.36
  4. Step 4: Simplify right side
    10,732x = 89,220,920.50
  5. Step 5: Solve for x
    x = 89,220,920.50/10,732
  6. Step 6: Final answer
    x = 8,313.54

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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.