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Finding the Fourth Proportional to 7,782.14, 10,738.58 and 4,245.32

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Solution

The fourth proportional to 7,782.14, 10,738.58 and 4,245.32 is: 5,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.14 : 10,738.58 = 4,245.32 : x
  2. Step 2: Convert to fraction form
    7,782.14/10,738.58 = 4,245.32/x
  3. Step 3: Cross multiply
    7,782.14x = 10,738.58 × 4,245.32
  4. Step 4: Simplify right side
    7,782.14x = 45,588,708.45
  5. Step 5: Solve for x
    x = 45,588,708.45/7,782.14
  6. Step 6: Final answer
    x = 5,858.12

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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.