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Finding the Fourth Proportional to 10,515.92, 14,511.90 and 5,800.20

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Solution

The fourth proportional to 10,515.92, 14,511.90 and 5,800.20 is: 8,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.92 : 14,511.90 = 5,800.20 : x
  2. Step 2: Convert to fraction form
    10,515.92/14,511.90 = 5,800.20/x
  3. Step 3: Cross multiply
    10,515.92x = 14,511.90 × 5,800.20
  4. Step 4: Simplify right side
    10,515.92x = 84,171,922.38
  5. Step 5: Solve for x
    x = 84,171,922.38/10,515.92
  6. Step 6: Final answer
    x = 8,004.24

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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.