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Finding the Fourth Proportional to 8,222.67, 11,344.50 and 4,683.36

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Solution

The fourth proportional to 8,222.67, 11,344.50 and 4,683.36 is: 6,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.67 : 11,344.50 = 4,683.36 : x
  2. Step 2: Convert to fraction form
    8,222.67/11,344.50 = 4,683.36/x
  3. Step 3: Cross multiply
    8,222.67x = 11,344.50 × 4,683.36
  4. Step 4: Simplify right side
    8,222.67x = 53,130,377.52
  5. Step 5: Solve for x
    x = 53,130,377.52/8,222.67
  6. Step 6: Final answer
    x = 6,461.45

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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.