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Finding the Fourth Proportional to 10,453.11, 14,424.81 and 5,737.47

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Solution

The fourth proportional to 10,453.11, 14,424.81 and 5,737.47 is: 7,917.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.11 : 14,424.81 = 5,737.47 : x
  2. Step 2: Convert to fraction form
    10,453.11/14,424.81 = 5,737.47/x
  3. Step 3: Cross multiply
    10,453.11x = 14,424.81 × 5,737.47
  4. Step 4: Simplify right side
    10,453.11x = 82,761,914.63
  5. Step 5: Solve for x
    x = 82,761,914.63/10,453.11
  6. Step 6: Final answer
    x = 7,917.44

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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.