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Finding the Fourth Proportional to 7,782.40, 10,739.68 and 4,245.58

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Solution

The fourth proportional to 7,782.40, 10,739.68 and 4,245.58 is: 5,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.40 : 10,739.68 = 4,245.58 : x
  2. Step 2: Convert to fraction form
    7,782.40/10,739.68 = 4,245.58/x
  3. Step 3: Cross multiply
    7,782.40x = 10,739.68 × 4,245.58
  4. Step 4: Simplify right side
    7,782.40x = 45,596,170.61
  5. Step 5: Solve for x
    x = 45,596,170.61/7,782.40
  6. Step 6: Final answer
    x = 5,858.88

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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.