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Finding the Fourth Proportional to 11,615.27, 16,035.71 and 7,647.92

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Solution

The fourth proportional to 11,615.27, 16,035.71 and 7,647.92 is: 10,558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.27 : 16,035.71 = 7,647.92 : x
  2. Step 2: Convert to fraction form
    11,615.27/16,035.71 = 7,647.92/x
  3. Step 3: Cross multiply
    11,615.27x = 16,035.71 × 7,647.92
  4. Step 4: Simplify right side
    11,615.27x = 122,639,708.81
  5. Step 5: Solve for x
    x = 122,639,708.81/11,615.27
  6. Step 6: Final answer
    x = 10,558.49

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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.