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Finding the Fourth Proportional to 10,941, 16,411.52 and 2,733

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Solution

The fourth proportional to 10,941, 16,411.52 and 2,733 is: 4,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941 : 16,411.52 = 2,733 : x
  2. Step 2: Convert to fraction form
    10,941/16,411.52 = 2,733/x
  3. Step 3: Cross multiply
    10,941x = 16,411.52 × 2,733
  4. Step 4: Simplify right side
    10,941x = 44,852,684.16
  5. Step 5: Solve for x
    x = 44,852,684.16/10,941
  6. Step 6: Final answer
    x = 4,099.50

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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.