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Finding the Fourth Proportional to 11,160.16, 16,735.96 and 3,762.62

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Solution

The fourth proportional to 11,160.16, 16,735.96 and 3,762.62 is: 5,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,160.16 : 16,735.96 = 3,762.62 : x
  2. Step 2: Convert to fraction form
    11,160.16/16,735.96 = 3,762.62/x
  3. Step 3: Cross multiply
    11,160.16x = 16,735.96 × 3,762.62
  4. Step 4: Simplify right side
    11,160.16x = 62,971,057.82
  5. Step 5: Solve for x
    x = 62,971,057.82/11,160.16
  6. Step 6: Final answer
    x = 5,642.49

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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.