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Finding the Fourth Proportional to 10,057.67, 13,879.95 and 6,078

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Solution

The fourth proportional to 10,057.67, 13,879.95 and 6,078 is: 8,387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.67 : 13,879.95 = 6,078 : x
  2. Step 2: Convert to fraction form
    10,057.67/13,879.95 = 6,078/x
  3. Step 3: Cross multiply
    10,057.67x = 13,879.95 × 6,078
  4. Step 4: Simplify right side
    10,057.67x = 84,362,336.10
  5. Step 5: Solve for x
    x = 84,362,336.10/10,057.67
  6. Step 6: Final answer
    x = 8,387.86

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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.