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Finding the Fourth Proportional to 11,351.02, 15,662.90 and 6,314.24

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Solution

The fourth proportional to 11,351.02, 15,662.90 and 6,314.24 is: 8,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.02 : 15,662.90 = 6,314.24 : x
  2. Step 2: Convert to fraction form
    11,351.02/15,662.90 = 6,314.24/x
  3. Step 3: Cross multiply
    11,351.02x = 15,662.90 × 6,314.24
  4. Step 4: Simplify right side
    11,351.02x = 98,899,231.38
  5. Step 5: Solve for x
    x = 98,899,231.38/11,351.02
  6. Step 6: Final answer
    x = 8,712.81

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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.