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Finding the Fourth Proportional to 13,751.38, 18,977.34 and 7,782.94

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Solution

The fourth proportional to 13,751.38, 18,977.34 and 7,782.94 is: 10,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.38 : 18,977.34 = 7,782.94 : x
  2. Step 2: Convert to fraction form
    13,751.38/18,977.34 = 7,782.94/x
  3. Step 3: Cross multiply
    13,751.38x = 18,977.34 × 7,782.94
  4. Step 4: Simplify right side
    13,751.38x = 147,699,498.58
  5. Step 5: Solve for x
    x = 147,699,498.58/13,751.38
  6. Step 6: Final answer
    x = 10,740.70

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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.