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Finding the Fourth Proportional to 10,146.82, 13,994.70 and 6,513.22

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Solution

The fourth proportional to 10,146.82, 13,994.70 and 6,513.22 is: 8,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.82 : 13,994.70 = 6,513.22 : x
  2. Step 2: Convert to fraction form
    10,146.82/13,994.70 = 6,513.22/x
  3. Step 3: Cross multiply
    10,146.82x = 13,994.70 × 6,513.22
  4. Step 4: Simplify right side
    10,146.82x = 91,150,559.93
  5. Step 5: Solve for x
    x = 91,150,559.93/10,146.82
  6. Step 6: Final answer
    x = 8,983.17

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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.