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Finding the Fourth Proportional to 11,182.46, 15,431.78 and 6,147

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Solution

The fourth proportional to 11,182.46, 15,431.78 and 6,147 is: 8,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.46 : 15,431.78 = 6,147 : x
  2. Step 2: Convert to fraction form
    11,182.46/15,431.78 = 6,147/x
  3. Step 3: Cross multiply
    11,182.46x = 15,431.78 × 6,147
  4. Step 4: Simplify right side
    11,182.46x = 94,859,167.03
  5. Step 5: Solve for x
    x = 94,859,167.03/11,182.46
  6. Step 6: Final answer
    x = 8,482.86

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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.