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Finding the Fourth Proportional to 10,833.05, 14,949.61 and 5,865.05

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Solution

The fourth proportional to 10,833.05, 14,949.61 and 5,865.05 is: 8,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.05 : 14,949.61 = 5,865.05 : x
  2. Step 2: Convert to fraction form
    10,833.05/14,949.61 = 5,865.05/x
  3. Step 3: Cross multiply
    10,833.05x = 14,949.61 × 5,865.05
  4. Step 4: Simplify right side
    10,833.05x = 87,680,120.72
  5. Step 5: Solve for x
    x = 87,680,120.72/10,833.05
  6. Step 6: Final answer
    x = 8,093.77

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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.