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Finding the Fourth Proportional to 6,123.28, 8,442.48 and 5,065.44

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Solution

The fourth proportional to 6,123.28, 8,442.48 and 5,065.44 is: 6,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.28 : 8,442.48 = 5,065.44 : x
  2. Step 2: Convert to fraction form
    6,123.28/8,442.48 = 5,065.44/x
  3. Step 3: Cross multiply
    6,123.28x = 8,442.48 × 5,065.44
  4. Step 4: Simplify right side
    6,123.28x = 42,764,875.89
  5. Step 5: Solve for x
    x = 42,764,875.89/6,123.28
  6. Step 6: Final answer
    x = 6,983.98

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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.