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Finding the Fourth Proportional to 10,322.40, 15,485.76 and 3,396

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Solution

The fourth proportional to 10,322.40, 15,485.76 and 3,396 is: 5,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.40 : 15,485.76 = 3,396 : x
  2. Step 2: Convert to fraction form
    10,322.40/15,485.76 = 3,396/x
  3. Step 3: Cross multiply
    10,322.40x = 15,485.76 × 3,396
  4. Step 4: Simplify right side
    10,322.40x = 52,589,640.96
  5. Step 5: Solve for x
    x = 52,589,640.96/10,322.40
  6. Step 6: Final answer
    x = 5,094.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.