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Finding the Fourth Proportional to 7,977.69, 11,975.04 and 5,209.92

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Solution

The fourth proportional to 7,977.69, 11,975.04 and 5,209.92 is: 7,820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.69 : 11,975.04 = 5,209.92 : x
  2. Step 2: Convert to fraction form
    7,977.69/11,975.04 = 5,209.92/x
  3. Step 3: Cross multiply
    7,977.69x = 11,975.04 × 5,209.92
  4. Step 4: Simplify right side
    7,977.69x = 62,389,000.40
  5. Step 5: Solve for x
    x = 62,389,000.40/7,977.69
  6. Step 6: Final answer
    x = 7,820.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.