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Finding the Fourth Proportional to 10,933.50, 16,403.02 and 3,142.32

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Solution

The fourth proportional to 10,933.50, 16,403.02 and 3,142.32 is: 4,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933.50 : 16,403.02 = 3,142.32 : x
  2. Step 2: Convert to fraction form
    10,933.50/16,403.02 = 3,142.32/x
  3. Step 3: Cross multiply
    10,933.50x = 16,403.02 × 3,142.32
  4. Step 4: Simplify right side
    10,933.50x = 51,543,537.81
  5. Step 5: Solve for x
    x = 51,543,537.81/10,933.50
  6. Step 6: Final answer
    x = 4,714.28

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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.