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Finding the Fourth Proportional to 6,830.44, 10,238.28 and 3,313

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Solution

The fourth proportional to 6,830.44, 10,238.28 and 3,313 is: 4,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.44 : 10,238.28 = 3,313 : x
  2. Step 2: Convert to fraction form
    6,830.44/10,238.28 = 3,313/x
  3. Step 3: Cross multiply
    6,830.44x = 10,238.28 × 3,313
  4. Step 4: Simplify right side
    6,830.44x = 33,919,421.64
  5. Step 5: Solve for x
    x = 33,919,421.64/6,830.44
  6. Step 6: Final answer
    x = 4,965.92

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