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Finding the Fourth Proportional to 8,282.97, 11,430.50 and 4,748.23

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Solution

The fourth proportional to 8,282.97, 11,430.50 and 4,748.23 is: 6,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.97 : 11,430.50 = 4,748.23 : x
  2. Step 2: Convert to fraction form
    8,282.97/11,430.50 = 4,748.23/x
  3. Step 3: Cross multiply
    8,282.97x = 11,430.50 × 4,748.23
  4. Step 4: Simplify right side
    8,282.97x = 54,274,619.27
  5. Step 5: Solve for x
    x = 54,274,619.27/8,282.97
  6. Step 6: Final answer
    x = 6,552.56

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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.