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Finding the Fourth Proportional to 8,812, 12,160.56 and 5,086

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Solution

The fourth proportional to 8,812, 12,160.56 and 5,086 is: 7,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,812 : 12,160.56 = 5,086 : x
  2. Step 2: Convert to fraction form
    8,812/12,160.56 = 5,086/x
  3. Step 3: Cross multiply
    8,812x = 12,160.56 × 5,086
  4. Step 4: Simplify right side
    8,812x = 61,848,608.16
  5. Step 5: Solve for x
    x = 61,848,608.16/8,812
  6. Step 6: Final answer
    x = 7,018.68

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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.