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Finding the Fourth Proportional to 10,893.93, 16,342.64 and 5,347.76

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Solution

The fourth proportional to 10,893.93, 16,342.64 and 5,347.76 is: 8,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.93 : 16,342.64 = 5,347.76 : x
  2. Step 2: Convert to fraction form
    10,893.93/16,342.64 = 5,347.76/x
  3. Step 3: Cross multiply
    10,893.93x = 16,342.64 × 5,347.76
  4. Step 4: Simplify right side
    10,893.93x = 87,396,516.49
  5. Step 5: Solve for x
    x = 87,396,516.49/10,893.93
  6. Step 6: Final answer
    x = 8,022.50

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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.