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Finding the Fourth Proportional to 10,308.96, 14,228.48 and 5,832.88

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Solution

The fourth proportional to 10,308.96, 14,228.48 and 5,832.88 is: 8,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.96 : 14,228.48 = 5,832.88 : x
  2. Step 2: Convert to fraction form
    10,308.96/14,228.48 = 5,832.88/x
  3. Step 3: Cross multiply
    10,308.96x = 14,228.48 × 5,832.88
  4. Step 4: Simplify right side
    10,308.96x = 82,993,016.42
  5. Step 5: Solve for x
    x = 82,993,016.42/10,308.96
  6. Step 6: Final answer
    x = 8,050.57

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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.