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Finding the Fourth Proportional to 7,782.36, 10,739.40 and 4,425

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Solution

The fourth proportional to 7,782.36, 10,739.40 and 4,425 is: 6,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.36 : 10,739.40 = 4,425 : x
  2. Step 2: Convert to fraction form
    7,782.36/10,739.40 = 4,425/x
  3. Step 3: Cross multiply
    7,782.36x = 10,739.40 × 4,425
  4. Step 4: Simplify right side
    7,782.36x = 47,521,845
  5. Step 5: Solve for x
    x = 47,521,845/7,782.36
  6. Step 6: Final answer
    x = 6,106.35

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