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Finding the Fourth Proportional to 11,516.38, 15,892.20 and 7,040.32

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Solution

The fourth proportional to 11,516.38, 15,892.20 and 7,040.32 is: 9,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.38 : 15,892.20 = 7,040.32 : x
  2. Step 2: Convert to fraction form
    11,516.38/15,892.20 = 7,040.32/x
  3. Step 3: Cross multiply
    11,516.38x = 15,892.20 × 7,040.32
  4. Step 4: Simplify right side
    11,516.38x = 111,886,133.77
  5. Step 5: Solve for x
    x = 111,886,133.77/11,516.38
  6. Step 6: Final answer
    x = 9,715.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.