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Finding the Fourth Proportional to 10,832.84, 14,949.36 and 5,864.84

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Solution

The fourth proportional to 10,832.84, 14,949.36 and 5,864.84 is: 8,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.84 : 14,949.36 = 5,864.84 : x
  2. Step 2: Convert to fraction form
    10,832.84/14,949.36 = 5,864.84/x
  3. Step 3: Cross multiply
    10,832.84x = 14,949.36 × 5,864.84
  4. Step 4: Simplify right side
    10,832.84x = 87,675,604.50
  5. Step 5: Solve for x
    x = 87,675,604.50/10,832.84
  6. Step 6: Final answer
    x = 8,093.50

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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.