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Finding the Fourth Proportional to 10,196.88, 15,287.22 and 3,956.64

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Solution

The fourth proportional to 10,196.88, 15,287.22 and 3,956.64 is: 5,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.88 : 15,287.22 = 3,956.64 : x
  2. Step 2: Convert to fraction form
    10,196.88/15,287.22 = 3,956.64/x
  3. Step 3: Cross multiply
    10,196.88x = 15,287.22 × 3,956.64
  4. Step 4: Simplify right side
    10,196.88x = 60,486,026.14
  5. Step 5: Solve for x
    x = 60,486,026.14/10,196.88
  6. Step 6: Final answer
    x = 5,931.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.