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Finding the Fourth Proportional to 6,838.80, 10,243.80 and 5,686.80

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Solution

The fourth proportional to 6,838.80, 10,243.80 and 5,686.80 is: 8,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.80 : 10,243.80 = 5,686.80 : x
  2. Step 2: Convert to fraction form
    6,838.80/10,243.80 = 5,686.80/x
  3. Step 3: Cross multiply
    6,838.80x = 10,243.80 × 5,686.80
  4. Step 4: Simplify right side
    6,838.80x = 58,254,441.84
  5. Step 5: Solve for x
    x = 58,254,441.84/6,838.80
  6. Step 6: Final answer
    x = 8,518.23

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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.