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Finding the Fourth Proportional to 11,242.76, 16,867.02 and 5,087.24

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Solution

The fourth proportional to 11,242.76, 16,867.02 and 5,087.24 is: 7,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.76 : 16,867.02 = 5,087.24 : x
  2. Step 2: Convert to fraction form
    11,242.76/16,867.02 = 5,087.24/x
  3. Step 3: Cross multiply
    11,242.76x = 16,867.02 × 5,087.24
  4. Step 4: Simplify right side
    11,242.76x = 85,806,578.82
  5. Step 5: Solve for x
    x = 85,806,578.82/11,242.76
  6. Step 6: Final answer
    x = 7,632.16

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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.