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Finding the Fourth Proportional to 7,857.90, 11,781.92 and 2,923.47

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Solution

The fourth proportional to 7,857.90, 11,781.92 and 2,923.47 is: 4,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.90 : 11,781.92 = 2,923.47 : x
  2. Step 2: Convert to fraction form
    7,857.90/11,781.92 = 2,923.47/x
  3. Step 3: Cross multiply
    7,857.90x = 11,781.92 × 2,923.47
  4. Step 4: Simplify right side
    7,857.90x = 34,444,075.05
  5. Step 5: Solve for x
    x = 34,444,075.05/7,857.90
  6. Step 6: Final answer
    x = 4,383.37

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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.