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Finding the Fourth Proportional to 8,416.96, 11,609.52 and 7,149.28

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Solution

The fourth proportional to 8,416.96, 11,609.52 and 7,149.28 is: 9,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.96 : 11,609.52 = 7,149.28 : x
  2. Step 2: Convert to fraction form
    8,416.96/11,609.52 = 7,149.28/x
  3. Step 3: Cross multiply
    8,416.96x = 11,609.52 × 7,149.28
  4. Step 4: Simplify right side
    8,416.96x = 82,999,709.15
  5. Step 5: Solve for x
    x = 82,999,709.15/8,416.96
  6. Step 6: Final answer
    x = 9,861.01

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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.