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Finding the Fourth Proportional to 10,424.36, 14,385.62 and 5,644.28

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Solution

The fourth proportional to 10,424.36, 14,385.62 and 5,644.28 is: 7,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.36 : 14,385.62 = 5,644.28 : x
  2. Step 2: Convert to fraction form
    10,424.36/14,385.62 = 5,644.28/x
  3. Step 3: Cross multiply
    10,424.36x = 14,385.62 × 5,644.28
  4. Step 4: Simplify right side
    10,424.36x = 81,196,517.33
  5. Step 5: Solve for x
    x = 81,196,517.33/10,424.36
  6. Step 6: Final answer
    x = 7,789.11

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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.