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Finding the Fourth Proportional to 10,669.92, 16,013.04 and 4,830.60

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Solution

The fourth proportional to 10,669.92, 16,013.04 and 4,830.60 is: 7,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.92 : 16,013.04 = 4,830.60 : x
  2. Step 2: Convert to fraction form
    10,669.92/16,013.04 = 4,830.60/x
  3. Step 3: Cross multiply
    10,669.92x = 16,013.04 × 4,830.60
  4. Step 4: Simplify right side
    10,669.92x = 77,352,591.02
  5. Step 5: Solve for x
    x = 77,352,591.02/10,669.92
  6. Step 6: Final answer
    x = 7,249.59

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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.