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Finding the Fourth Proportional to 11,157.16, 16,735.28 and 3,365.76

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Solution

The fourth proportional to 11,157.16, 16,735.28 and 3,365.76 is: 5,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.16 : 16,735.28 = 3,365.76 : x
  2. Step 2: Convert to fraction form
    11,157.16/16,735.28 = 3,365.76/x
  3. Step 3: Cross multiply
    11,157.16x = 16,735.28 × 3,365.76
  4. Step 4: Simplify right side
    11,157.16x = 56,326,936.01
  5. Step 5: Solve for x
    x = 56,326,936.01/11,157.16
  6. Step 6: Final answer
    x = 5,048.50

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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.