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Finding the Fourth Proportional to 6,816.59, 10,223.37 and 2,656.71

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Solution

The fourth proportional to 6,816.59, 10,223.37 and 2,656.71 is: 3,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.59 : 10,223.37 = 2,656.71 : x
  2. Step 2: Convert to fraction form
    6,816.59/10,223.37 = 2,656.71/x
  3. Step 3: Cross multiply
    6,816.59x = 10,223.37 × 2,656.71
  4. Step 4: Simplify right side
    6,816.59x = 27,160,516.03
  5. Step 5: Solve for x
    x = 27,160,516.03/6,816.59
  6. Step 6: Final answer
    x = 3,984.47

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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.