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Finding the Fourth Proportional to 10,835.22, 14,952.75 and 5,867.22

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Solution

The fourth proportional to 10,835.22, 14,952.75 and 5,867.22 is: 8,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.22 : 14,952.75 = 5,867.22 : x
  2. Step 2: Convert to fraction form
    10,835.22/14,952.75 = 5,867.22/x
  3. Step 3: Cross multiply
    10,835.22x = 14,952.75 × 5,867.22
  4. Step 4: Simplify right side
    10,835.22x = 87,731,073.86
  5. Step 5: Solve for x
    x = 87,731,073.86/10,835.22
  6. Step 6: Final answer
    x = 8,096.84

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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.