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Finding the Fourth Proportional to 10,834, 14,950.92 and 5,866

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Solution

The fourth proportional to 10,834, 14,950.92 and 5,866 is: 8,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834 : 14,950.92 = 5,866 : x
  2. Step 2: Convert to fraction form
    10,834/14,950.92 = 5,866/x
  3. Step 3: Cross multiply
    10,834x = 14,950.92 × 5,866
  4. Step 4: Simplify right side
    10,834x = 87,702,096.72
  5. Step 5: Solve for x
    x = 87,702,096.72/10,834
  6. Step 6: Final answer
    x = 8,095.08

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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.