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Finding the Fourth Proportional to 10,378.26, 14,324.04 and 7,232.64

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Solution

The fourth proportional to 10,378.26, 14,324.04 and 7,232.64 is: 9,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.26 : 14,324.04 = 7,232.64 : x
  2. Step 2: Convert to fraction form
    10,378.26/14,324.04 = 7,232.64/x
  3. Step 3: Cross multiply
    10,378.26x = 14,324.04 × 7,232.64
  4. Step 4: Simplify right side
    10,378.26x = 103,600,624.67
  5. Step 5: Solve for x
    x = 103,600,624.67/10,378.26
  6. Step 6: Final answer
    x = 9,982.47

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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.