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Finding the Fourth Proportional to 11,212.32, 15,460.08 and 7,438.56

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Solution

The fourth proportional to 11,212.32, 15,460.08 and 7,438.56 is: 10,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.32 : 15,460.08 = 7,438.56 : x
  2. Step 2: Convert to fraction form
    11,212.32/15,460.08 = 7,438.56/x
  3. Step 3: Cross multiply
    11,212.32x = 15,460.08 × 7,438.56
  4. Step 4: Simplify right side
    11,212.32x = 115,000,732.68
  5. Step 5: Solve for x
    x = 115,000,732.68/11,212.32
  6. Step 6: Final answer
    x = 10,256.64

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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.