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Finding the Fourth Proportional to 11,238.53, 15,500.41 and 7,205.74

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Solution

The fourth proportional to 11,238.53, 15,500.41 and 7,205.74 is: 9,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.53 : 15,500.41 = 7,205.74 : x
  2. Step 2: Convert to fraction form
    11,238.53/15,500.41 = 7,205.74/x
  3. Step 3: Cross multiply
    11,238.53x = 15,500.41 × 7,205.74
  4. Step 4: Simplify right side
    11,238.53x = 111,691,927.08
  5. Step 5: Solve for x
    x = 111,691,927.08/11,238.53
  6. Step 6: Final answer
    x = 9,938.30

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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.