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Finding the Fourth Proportional to 7,782.12, 10,735.20 and 5,260.92

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Solution

The fourth proportional to 7,782.12, 10,735.20 and 5,260.92 is: 7,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.12 : 10,735.20 = 5,260.92 : x
  2. Step 2: Convert to fraction form
    7,782.12/10,735.20 = 5,260.92/x
  3. Step 3: Cross multiply
    7,782.12x = 10,735.20 × 5,260.92
  4. Step 4: Simplify right side
    7,782.12x = 56,477,028.38
  5. Step 5: Solve for x
    x = 56,477,028.38/7,782.12
  6. Step 6: Final answer
    x = 7,257.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.