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Finding the Fourth Proportional to 7,166.98, 10,751.88 and 2,784.88

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Solution

The fourth proportional to 7,166.98, 10,751.88 and 2,784.88 is: 4,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.98 : 10,751.88 = 2,784.88 : x
  2. Step 2: Convert to fraction form
    7,166.98/10,751.88 = 2,784.88/x
  3. Step 3: Cross multiply
    7,166.98x = 10,751.88 × 2,784.88
  4. Step 4: Simplify right side
    7,166.98x = 29,942,641.82
  5. Step 5: Solve for x
    x = 29,942,641.82/7,166.98
  6. Step 6: Final answer
    x = 4,177.86

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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.