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Finding the Fourth Proportional to 11,256.35, 15,533.28 and 6,220.76

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Solution

The fourth proportional to 11,256.35, 15,533.28 and 6,220.76 is: 8,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.35 : 15,533.28 = 6,220.76 : x
  2. Step 2: Convert to fraction form
    11,256.35/15,533.28 = 6,220.76/x
  3. Step 3: Cross multiply
    11,256.35x = 15,533.28 × 6,220.76
  4. Step 4: Simplify right side
    11,256.35x = 96,628,729.23
  5. Step 5: Solve for x
    x = 96,628,729.23/11,256.35
  6. Step 6: Final answer
    x = 8,584.38

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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.