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Finding the Fourth Proportional to 7,713.02, 10,642.19 and 5,199.80

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Solution

The fourth proportional to 7,713.02, 10,642.19 and 5,199.80 is: 7,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.02 : 10,642.19 = 5,199.80 : x
  2. Step 2: Convert to fraction form
    7,713.02/10,642.19 = 5,199.80/x
  3. Step 3: Cross multiply
    7,713.02x = 10,642.19 × 5,199.80
  4. Step 4: Simplify right side
    7,713.02x = 55,337,180.35
  5. Step 5: Solve for x
    x = 55,337,180.35/7,713.02
  6. Step 6: Final answer
    x = 7,174.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.