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Finding the Fourth Proportional to 11,141.76, 16,701.12 and 5,293.92

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Solution

The fourth proportional to 11,141.76, 16,701.12 and 5,293.92 is: 7,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.76 : 16,701.12 = 5,293.92 : x
  2. Step 2: Convert to fraction form
    11,141.76/16,701.12 = 5,293.92/x
  3. Step 3: Cross multiply
    11,141.76x = 16,701.12 × 5,293.92
  4. Step 4: Simplify right side
    11,141.76x = 88,414,393.19
  5. Step 5: Solve for x
    x = 88,414,393.19/11,141.76
  6. Step 6: Final answer
    x = 7,935.41

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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.