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Finding the Fourth Proportional to 11,009.50, 16,516.95 and 5,159.27

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Solution

The fourth proportional to 11,009.50, 16,516.95 and 5,159.27 is: 7,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.50 : 16,516.95 = 5,159.27 : x
  2. Step 2: Convert to fraction form
    11,009.50/16,516.95 = 5,159.27/x
  3. Step 3: Cross multiply
    11,009.50x = 16,516.95 × 5,159.27
  4. Step 4: Simplify right side
    11,009.50x = 85,215,426.57
  5. Step 5: Solve for x
    x = 85,215,426.57/11,009.50
  6. Step 6: Final answer
    x = 7,740.17

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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.