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Finding the Fourth Proportional to 10,437.70, 14,403.94 and 5,721.98

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Solution

The fourth proportional to 10,437.70, 14,403.94 and 5,721.98 is: 7,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.70 : 14,403.94 = 5,721.98 : x
  2. Step 2: Convert to fraction form
    10,437.70/14,403.94 = 5,721.98/x
  3. Step 3: Cross multiply
    10,437.70x = 14,403.94 × 5,721.98
  4. Step 4: Simplify right side
    10,437.70x = 82,419,056.60
  5. Step 5: Solve for x
    x = 82,419,056.60/10,437.70
  6. Step 6: Final answer
    x = 7,896.29

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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.