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Finding the Fourth Proportional to 10,373.82, 14,319.99 and 6,398.70

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Solution

The fourth proportional to 10,373.82, 14,319.99 and 6,398.70 is: 8,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.82 : 14,319.99 = 6,398.70 : x
  2. Step 2: Convert to fraction form
    10,373.82/14,319.99 = 6,398.70/x
  3. Step 3: Cross multiply
    10,373.82x = 14,319.99 × 6,398.70
  4. Step 4: Simplify right side
    10,373.82x = 91,629,320.01
  5. Step 5: Solve for x
    x = 91,629,320.01/10,373.82
  6. Step 6: Final answer
    x = 8,832.75

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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.