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Finding the Fourth Proportional to 10,585.36, 14,608.38 and 5,869.54

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Solution

The fourth proportional to 10,585.36, 14,608.38 and 5,869.54 is: 8,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.36 : 14,608.38 = 5,869.54 : x
  2. Step 2: Convert to fraction form
    10,585.36/14,608.38 = 5,869.54/x
  3. Step 3: Cross multiply
    10,585.36x = 14,608.38 × 5,869.54
  4. Step 4: Simplify right side
    10,585.36x = 85,744,470.75
  5. Step 5: Solve for x
    x = 85,744,470.75/10,585.36
  6. Step 6: Final answer
    x = 8,100.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.