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Finding the Fourth Proportional to 7,857.75, 11,783.53 and 2,924.69

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Solution

The fourth proportional to 7,857.75, 11,783.53 and 2,924.69 is: 4,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.75 : 11,783.53 = 2,924.69 : x
  2. Step 2: Convert to fraction form
    7,857.75/11,783.53 = 2,924.69/x
  3. Step 3: Cross multiply
    7,857.75x = 11,783.53 × 2,924.69
  4. Step 4: Simplify right side
    7,857.75x = 34,463,172.36
  5. Step 5: Solve for x
    x = 34,463,172.36/7,857.75
  6. Step 6: Final answer
    x = 4,385.88

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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.