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Finding the Fourth Proportional to 11,009.76, 15,188.22 and 7,231.38

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Solution

The fourth proportional to 11,009.76, 15,188.22 and 7,231.38 is: 9,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.76 : 15,188.22 = 7,231.38 : x
  2. Step 2: Convert to fraction form
    11,009.76/15,188.22 = 7,231.38/x
  3. Step 3: Cross multiply
    11,009.76x = 15,188.22 × 7,231.38
  4. Step 4: Simplify right side
    11,009.76x = 109,831,790.34
  5. Step 5: Solve for x
    x = 109,831,790.34/11,009.76
  6. Step 6: Final answer
    x = 9,975.86

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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.