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Finding the Fourth Proportional to 10,398.57, 14,346.43 and 8,138.06

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Solution

The fourth proportional to 10,398.57, 14,346.43 and 8,138.06 is: 11,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.57 : 14,346.43 = 8,138.06 : x
  2. Step 2: Convert to fraction form
    10,398.57/14,346.43 = 8,138.06/x
  3. Step 3: Cross multiply
    10,398.57x = 14,346.43 × 8,138.06
  4. Step 4: Simplify right side
    10,398.57x = 116,752,108.13
  5. Step 5: Solve for x
    x = 116,752,108.13/10,398.57
  6. Step 6: Final answer
    x = 11,227.71

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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.