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Finding the Fourth Proportional to 11,396.32, 15,723.24 and 6,359.74

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Solution

The fourth proportional to 11,396.32, 15,723.24 and 6,359.74 is: 8,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.32 : 15,723.24 = 6,359.74 : x
  2. Step 2: Convert to fraction form
    11,396.32/15,723.24 = 6,359.74/x
  3. Step 3: Cross multiply
    11,396.32x = 15,723.24 × 6,359.74
  4. Step 4: Simplify right side
    11,396.32x = 99,995,718.36
  5. Step 5: Solve for x
    x = 99,995,718.36/11,396.32
  6. Step 6: Final answer
    x = 8,774.39

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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.