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Finding the Fourth Proportional to 7,782.62, 11,673.91 and 2,852.64

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Solution

The fourth proportional to 7,782.62, 11,673.91 and 2,852.64 is: 4,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.62 : 11,673.91 = 2,852.64 : x
  2. Step 2: Convert to fraction form
    7,782.62/11,673.91 = 2,852.64/x
  3. Step 3: Cross multiply
    7,782.62x = 11,673.91 × 2,852.64
  4. Step 4: Simplify right side
    7,782.62x = 33,301,462.62
  5. Step 5: Solve for x
    x = 33,301,462.62/7,782.62
  6. Step 6: Final answer
    x = 4,278.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.