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Finding the Fourth Proportional to 11,191.98, 15,443.72 and 6,475.38

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Solution

The fourth proportional to 11,191.98, 15,443.72 and 6,475.38 is: 8,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.98 : 15,443.72 = 6,475.38 : x
  2. Step 2: Convert to fraction form
    11,191.98/15,443.72 = 6,475.38/x
  3. Step 3: Cross multiply
    11,191.98x = 15,443.72 × 6,475.38
  4. Step 4: Simplify right side
    11,191.98x = 100,003,846.02
  5. Step 5: Solve for x
    x = 100,003,846.02/11,191.98
  6. Step 6: Final answer
    x = 8,935.32

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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.