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Finding the Fourth Proportional to 8,222.53, 11,345.53 and 4,685.67

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Solution

The fourth proportional to 8,222.53, 11,345.53 and 4,685.67 is: 6,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.53 : 11,345.53 = 4,685.67 : x
  2. Step 2: Convert to fraction form
    8,222.53/11,345.53 = 4,685.67/x
  3. Step 3: Cross multiply
    8,222.53x = 11,345.53 × 4,685.67
  4. Step 4: Simplify right side
    8,222.53x = 53,161,409.56
  5. Step 5: Solve for x
    x = 53,161,409.56/8,222.53
  6. Step 6: Final answer
    x = 6,465.33

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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.