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Finding the Fourth Proportional to 7,751.09, 11,623.10 and 4,242.31

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Solution

The fourth proportional to 7,751.09, 11,623.10 and 4,242.31 is: 6,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.09 : 11,623.10 = 4,242.31 : x
  2. Step 2: Convert to fraction form
    7,751.09/11,623.10 = 4,242.31/x
  3. Step 3: Cross multiply
    7,751.09x = 11,623.10 × 4,242.31
  4. Step 4: Simplify right side
    7,751.09x = 49,308,743.09
  5. Step 5: Solve for x
    x = 49,308,743.09/7,751.09
  6. Step 6: Final answer
    x = 6,361.52

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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.