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Finding the Fourth Proportional to 7,851.92, 11,782.32 and 2,924.96

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Solution

The fourth proportional to 7,851.92, 11,782.32 and 2,924.96 is: 4,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.92 : 11,782.32 = 2,924.96 : x
  2. Step 2: Convert to fraction form
    7,851.92/11,782.32 = 2,924.96/x
  3. Step 3: Cross multiply
    7,851.92x = 11,782.32 × 2,924.96
  4. Step 4: Simplify right side
    7,851.92x = 34,462,814.71
  5. Step 5: Solve for x
    x = 34,462,814.71/7,851.92
  6. Step 6: Final answer
    x = 4,389.09

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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.