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Finding the Fourth Proportional to 8,282.74, 11,430.23 and 4,505.94

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Solution

The fourth proportional to 8,282.74, 11,430.23 and 4,505.94 is: 6,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.74 : 11,430.23 = 4,505.94 : x
  2. Step 2: Convert to fraction form
    8,282.74/11,430.23 = 4,505.94/x
  3. Step 3: Cross multiply
    8,282.74x = 11,430.23 × 4,505.94
  4. Step 4: Simplify right side
    8,282.74x = 51,503,930.57
  5. Step 5: Solve for x
    x = 51,503,930.57/8,282.74
  6. Step 6: Final answer
    x = 6,218.22

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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.