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Finding the Fourth Proportional to 10,586.36, 14,609.22 and 5,871.08

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Solution

The fourth proportional to 10,586.36, 14,609.22 and 5,871.08 is: 8,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.36 : 14,609.22 = 5,871.08 : x
  2. Step 2: Convert to fraction form
    10,586.36/14,609.22 = 5,871.08/x
  3. Step 3: Cross multiply
    10,586.36x = 14,609.22 × 5,871.08
  4. Step 4: Simplify right side
    10,586.36x = 85,771,899.36
  5. Step 5: Solve for x
    x = 85,771,899.36/10,586.36
  6. Step 6: Final answer
    x = 8,102.11

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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.