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Finding the Fourth Proportional to 10,586.97, 14,609.36 and 5,871.56

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Solution

The fourth proportional to 10,586.97, 14,609.36 and 5,871.56 is: 8,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.97 : 14,609.36 = 5,871.56 : x
  2. Step 2: Convert to fraction form
    10,586.97/14,609.36 = 5,871.56/x
  3. Step 3: Cross multiply
    10,586.97x = 14,609.36 × 5,871.56
  4. Step 4: Simplify right side
    10,586.97x = 85,779,675.43
  5. Step 5: Solve for x
    x = 85,779,675.43/10,586.97
  6. Step 6: Final answer
    x = 8,102.38

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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.