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Finding the Fourth Proportional to 11,256.38, 15,534.02 and 6,220.81

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Solution

The fourth proportional to 11,256.38, 15,534.02 and 6,220.81 is: 8,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.38 : 15,534.02 = 6,220.81 : x
  2. Step 2: Convert to fraction form
    11,256.38/15,534.02 = 6,220.81/x
  3. Step 3: Cross multiply
    11,256.38x = 15,534.02 × 6,220.81
  4. Step 4: Simplify right side
    11,256.38x = 96,634,163.67
  5. Step 5: Solve for x
    x = 96,634,163.67/11,256.38
  6. Step 6: Final answer
    x = 8,584.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.