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Finding the Fourth Proportional to 10,893.92, 16,347.02 and 4,653.36

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Solution

The fourth proportional to 10,893.92, 16,347.02 and 4,653.36 is: 6,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.92 : 16,347.02 = 4,653.36 : x
  2. Step 2: Convert to fraction form
    10,893.92/16,347.02 = 4,653.36/x
  3. Step 3: Cross multiply
    10,893.92x = 16,347.02 × 4,653.36
  4. Step 4: Simplify right side
    10,893.92x = 76,068,545.72
  5. Step 5: Solve for x
    x = 76,068,545.72/10,893.92
  6. Step 6: Final answer
    x = 6,982.66

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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.