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Finding the Fourth Proportional to 11,301.96, 16,957.74 and 8,709.96

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Solution

The fourth proportional to 11,301.96, 16,957.74 and 8,709.96 is: 13,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.96 : 16,957.74 = 8,709.96 : x
  2. Step 2: Convert to fraction form
    11,301.96/16,957.74 = 8,709.96/x
  3. Step 3: Cross multiply
    11,301.96x = 16,957.74 × 8,709.96
  4. Step 4: Simplify right side
    11,301.96x = 147,701,237.09
  5. Step 5: Solve for x
    x = 147,701,237.09/11,301.96
  6. Step 6: Final answer
    x = 13,068.64

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Why These Related Problems?

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