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Finding the Fourth Proportional to 11,193.70, 15,447.64 and 6,158.38

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Solution

The fourth proportional to 11,193.70, 15,447.64 and 6,158.38 is: 8,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.70 : 15,447.64 = 6,158.38 : x
  2. Step 2: Convert to fraction form
    11,193.70/15,447.64 = 6,158.38/x
  3. Step 3: Cross multiply
    11,193.70x = 15,447.64 × 6,158.38
  4. Step 4: Simplify right side
    11,193.70x = 95,132,437.22
  5. Step 5: Solve for x
    x = 95,132,437.22/11,193.70
  6. Step 6: Final answer
    x = 8,498.75

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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.