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Finding the Fourth Proportional to 8,222.65, 11,350.95 and 5,242.48

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Solution

The fourth proportional to 8,222.65, 11,350.95 and 5,242.48 is: 7,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.65 : 11,350.95 = 5,242.48 : x
  2. Step 2: Convert to fraction form
    8,222.65/11,350.95 = 5,242.48/x
  3. Step 3: Cross multiply
    8,222.65x = 11,350.95 × 5,242.48
  4. Step 4: Simplify right side
    8,222.65x = 59,507,071.60
  5. Step 5: Solve for x
    x = 59,507,071.60/8,222.65
  6. Step 6: Final answer
    x = 7,236.97

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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.