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Finding the Fourth Proportional to 10,751.70, 16,111.92 and 4,740.47

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Solution

The fourth proportional to 10,751.70, 16,111.92 and 4,740.47 is: 7,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.70 : 16,111.92 = 4,740.47 : x
  2. Step 2: Convert to fraction form
    10,751.70/16,111.92 = 4,740.47/x
  3. Step 3: Cross multiply
    10,751.70x = 16,111.92 × 4,740.47
  4. Step 4: Simplify right side
    10,751.70x = 76,377,992.84
  5. Step 5: Solve for x
    x = 76,377,992.84/10,751.70
  6. Step 6: Final answer
    x = 7,103.81

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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.