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Finding the Fourth Proportional to 10,586.73, 14,609.34 and 5,871.36

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Solution

The fourth proportional to 10,586.73, 14,609.34 and 5,871.36 is: 8,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.73 : 14,609.34 = 5,871.36 : x
  2. Step 2: Convert to fraction form
    10,586.73/14,609.34 = 5,871.36/x
  3. Step 3: Cross multiply
    10,586.73x = 14,609.34 × 5,871.36
  4. Step 4: Simplify right side
    10,586.73x = 85,776,694.50
  5. Step 5: Solve for x
    x = 85,776,694.50/10,586.73
  6. Step 6: Final answer
    x = 8,102.28

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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.