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Finding the Fourth Proportional to 11,232.34, 15,505.60 and 7,255.39

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Solution

The fourth proportional to 11,232.34, 15,505.60 and 7,255.39 is: 10,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.34 : 15,505.60 = 7,255.39 : x
  2. Step 2: Convert to fraction form
    11,232.34/15,505.60 = 7,255.39/x
  3. Step 3: Cross multiply
    11,232.34x = 15,505.60 × 7,255.39
  4. Step 4: Simplify right side
    11,232.34x = 112,499,118.28
  5. Step 5: Solve for x
    x = 112,499,118.28/11,232.34
  6. Step 6: Final answer
    x = 10,015.65

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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.