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Finding the Fourth Proportional to 7,206.88, 10,777.38 and 5,239.12

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Solution

The fourth proportional to 7,206.88, 10,777.38 and 5,239.12 is: 7,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.88 : 10,777.38 = 5,239.12 : x
  2. Step 2: Convert to fraction form
    7,206.88/10,777.38 = 5,239.12/x
  3. Step 3: Cross multiply
    7,206.88x = 10,777.38 × 5,239.12
  4. Step 4: Simplify right side
    7,206.88x = 56,463,987.11
  5. Step 5: Solve for x
    x = 56,463,987.11/7,206.88
  6. Step 6: Final answer
    x = 7,834.73

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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.