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Finding the Fourth Proportional to 6,992.64, 10,490.78 and 3,096.14

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Solution

The fourth proportional to 6,992.64, 10,490.78 and 3,096.14 is: 4,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.64 : 10,490.78 = 3,096.14 : x
  2. Step 2: Convert to fraction form
    6,992.64/10,490.78 = 3,096.14/x
  3. Step 3: Cross multiply
    6,992.64x = 10,490.78 × 3,096.14
  4. Step 4: Simplify right side
    6,992.64x = 32,480,878.88
  5. Step 5: Solve for x
    x = 32,480,878.88/6,992.64
  6. Step 6: Final answer
    x = 4,645.01

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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.