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Finding the Fourth Proportional to 11,256.14, 15,533.25 and 6,220.25

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Solution

The fourth proportional to 11,256.14, 15,533.25 and 6,220.25 is: 8,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.14 : 15,533.25 = 6,220.25 : x
  2. Step 2: Convert to fraction form
    11,256.14/15,533.25 = 6,220.25/x
  3. Step 3: Cross multiply
    11,256.14x = 15,533.25 × 6,220.25
  4. Step 4: Simplify right side
    11,256.14x = 96,620,655.57
  5. Step 5: Solve for x
    x = 96,620,655.57/11,256.14
  6. Step 6: Final answer
    x = 8,583.82

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