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Finding the Fourth Proportional to 6,688.53, 9,231.71 and 4,450.50

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Solution

The fourth proportional to 6,688.53, 9,231.71 and 4,450.50 is: 6,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.53 : 9,231.71 = 4,450.50 : x
  2. Step 2: Convert to fraction form
    6,688.53/9,231.71 = 4,450.50/x
  3. Step 3: Cross multiply
    6,688.53x = 9,231.71 × 4,450.50
  4. Step 4: Simplify right side
    6,688.53x = 41,085,703.10
  5. Step 5: Solve for x
    x = 41,085,703.10/6,688.53
  6. Step 6: Final answer
    x = 6,142.71

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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.