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Finding the Fourth Proportional to 8,605.38, 11,879.10 and 7,285.98

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Solution

The fourth proportional to 8,605.38, 11,879.10 and 7,285.98 is: 10,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.38 : 11,879.10 = 7,285.98 : x
  2. Step 2: Convert to fraction form
    8,605.38/11,879.10 = 7,285.98/x
  3. Step 3: Cross multiply
    8,605.38x = 11,879.10 × 7,285.98
  4. Step 4: Simplify right side
    8,605.38x = 86,550,885.02
  5. Step 5: Solve for x
    x = 86,550,885.02/8,605.38
  6. Step 6: Final answer
    x = 10,057.76

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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.