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Finding the Fourth Proportional to 10,586, 14,608.68 and 5,871.26

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Solution

The fourth proportional to 10,586, 14,608.68 and 5,871.26 is: 8,102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586 : 14,608.68 = 5,871.26 : x
  2. Step 2: Convert to fraction form
    10,586/14,608.68 = 5,871.26/x
  3. Step 3: Cross multiply
    10,586x = 14,608.68 × 5,871.26
  4. Step 4: Simplify right side
    10,586x = 85,771,358.54
  5. Step 5: Solve for x
    x = 85,771,358.54/10,586
  6. Step 6: Final answer
    x = 8,102.34

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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.