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Finding the Fourth Proportional to 11,615.54, 17,457.87 and 5,463.86

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Solution

The fourth proportional to 11,615.54, 17,457.87 and 5,463.86 is: 8,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.54 : 17,457.87 = 5,463.86 : x
  2. Step 2: Convert to fraction form
    11,615.54/17,457.87 = 5,463.86/x
  3. Step 3: Cross multiply
    11,615.54x = 17,457.87 × 5,463.86
  4. Step 4: Simplify right side
    11,615.54x = 95,387,357.58
  5. Step 5: Solve for x
    x = 95,387,357.58/11,615.54
  6. Step 6: Final answer
    x = 8,212.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.