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Finding the Fourth Proportional to 10,215.22, 14,096.58 and 5,739.22

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Solution

The fourth proportional to 10,215.22, 14,096.58 and 5,739.22 is: 7,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.22 : 14,096.58 = 5,739.22 : x
  2. Step 2: Convert to fraction form
    10,215.22/14,096.58 = 5,739.22/x
  3. Step 3: Cross multiply
    10,215.22x = 14,096.58 × 5,739.22
  4. Step 4: Simplify right side
    10,215.22x = 80,903,373.87
  5. Step 5: Solve for x
    x = 80,903,373.87/10,215.22
  6. Step 6: Final answer
    x = 7,919.89

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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.