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Finding the Fourth Proportional to 11,071.27, 16,583.48 and 8,953.81

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Solution

The fourth proportional to 11,071.27, 16,583.48 and 8,953.81 is: 13,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.27 : 16,583.48 = 8,953.81 : x
  2. Step 2: Convert to fraction form
    11,071.27/16,583.48 = 8,953.81/x
  3. Step 3: Cross multiply
    11,071.27x = 16,583.48 × 8,953.81
  4. Step 4: Simplify right side
    11,071.27x = 148,485,329.06
  5. Step 5: Solve for x
    x = 148,485,329.06/11,071.27
  6. Step 6: Final answer
    x = 13,411.77

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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.