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Finding the Fourth Proportional to 7,077.55, 9,766.92 and 3,890.98

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Solution

The fourth proportional to 7,077.55, 9,766.92 and 3,890.98 is: 5,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.55 : 9,766.92 = 3,890.98 : x
  2. Step 2: Convert to fraction form
    7,077.55/9,766.92 = 3,890.98/x
  3. Step 3: Cross multiply
    7,077.55x = 9,766.92 × 3,890.98
  4. Step 4: Simplify right side
    7,077.55x = 38,002,890.38
  5. Step 5: Solve for x
    x = 38,002,890.38/7,077.55
  6. Step 6: Final answer
    x = 5,369.50

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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.