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Finding the Fourth Proportional to 6,784.44, 10,178.28 and 2,833.50

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Solution

The fourth proportional to 6,784.44, 10,178.28 and 2,833.50 is: 4,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.44 : 10,178.28 = 2,833.50 : x
  2. Step 2: Convert to fraction form
    6,784.44/10,178.28 = 2,833.50/x
  3. Step 3: Cross multiply
    6,784.44x = 10,178.28 × 2,833.50
  4. Step 4: Simplify right side
    6,784.44x = 28,840,156.38
  5. Step 5: Solve for x
    x = 28,840,156.38/6,784.44
  6. Step 6: Final answer
    x = 4,250.93

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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.