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Finding the Fourth Proportional to 10,437.74, 14,403.96 and 5,722.02

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Solution

The fourth proportional to 10,437.74, 14,403.96 and 5,722.02 is: 7,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.74 : 14,403.96 = 5,722.02 : x
  2. Step 2: Convert to fraction form
    10,437.74/14,403.96 = 5,722.02/x
  3. Step 3: Cross multiply
    10,437.74x = 14,403.96 × 5,722.02
  4. Step 4: Simplify right side
    10,437.74x = 82,419,747.20
  5. Step 5: Solve for x
    x = 82,419,747.20/10,437.74
  6. Step 6: Final answer
    x = 7,896.32

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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.