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Finding the Fourth Proportional to 10,018.92, 13,826.52 and 6,244.32

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Solution

The fourth proportional to 10,018.92, 13,826.52 and 6,244.32 is: 8,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.92 : 13,826.52 = 6,244.32 : x
  2. Step 2: Convert to fraction form
    10,018.92/13,826.52 = 6,244.32/x
  3. Step 3: Cross multiply
    10,018.92x = 13,826.52 × 6,244.32
  4. Step 4: Simplify right side
    10,018.92x = 86,337,215.37
  5. Step 5: Solve for x
    x = 86,337,215.37/10,018.92
  6. Step 6: Final answer
    x = 8,617.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.