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Finding the Fourth Proportional to 10,462.69, 15,693.94 and 4,222.60

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Solution

The fourth proportional to 10,462.69, 15,693.94 and 4,222.60 is: 6,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.69 : 15,693.94 = 4,222.60 : x
  2. Step 2: Convert to fraction form
    10,462.69/15,693.94 = 4,222.60/x
  3. Step 3: Cross multiply
    10,462.69x = 15,693.94 × 4,222.60
  4. Step 4: Simplify right side
    10,462.69x = 66,269,220.49
  5. Step 5: Solve for x
    x = 66,269,220.49/10,462.69
  6. Step 6: Final answer
    x = 6,333.86

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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.