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Finding the Fourth Proportional to 7,048.86, 9,727.83 and 4,255.26

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Solution

The fourth proportional to 7,048.86, 9,727.83 and 4,255.26 is: 5,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.86 : 9,727.83 = 4,255.26 : x
  2. Step 2: Convert to fraction form
    7,048.86/9,727.83 = 4,255.26/x
  3. Step 3: Cross multiply
    7,048.86x = 9,727.83 × 4,255.26
  4. Step 4: Simplify right side
    7,048.86x = 41,394,445.89
  5. Step 5: Solve for x
    x = 41,394,445.89/7,048.86
  6. Step 6: Final answer
    x = 5,872.50

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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.