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Finding the Fourth Proportional to 10,443.70, 14,412.24 and 5,728

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Solution

The fourth proportional to 10,443.70, 14,412.24 and 5,728 is: 7,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.70 : 14,412.24 = 5,728 : x
  2. Step 2: Convert to fraction form
    10,443.70/14,412.24 = 5,728/x
  3. Step 3: Cross multiply
    10,443.70x = 14,412.24 × 5,728
  4. Step 4: Simplify right side
    10,443.70x = 82,553,310.72
  5. Step 5: Solve for x
    x = 82,553,310.72/10,443.70
  6. Step 6: Final answer
    x = 7,904.60

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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.