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Finding the Fourth Proportional to 6,383.76, 8,807.40 and 4,148.44

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Solution

The fourth proportional to 6,383.76, 8,807.40 and 4,148.44 is: 5,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.76 : 8,807.40 = 4,148.44 : x
  2. Step 2: Convert to fraction form
    6,383.76/8,807.40 = 4,148.44/x
  3. Step 3: Cross multiply
    6,383.76x = 8,807.40 × 4,148.44
  4. Step 4: Simplify right side
    6,383.76x = 36,536,970.46
  5. Step 5: Solve for x
    x = 36,536,970.46/6,383.76
  6. Step 6: Final answer
    x = 5,723.42

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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.