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Finding the Fourth Proportional to 10,422.80, 15,626.20 and 5,232.40

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Solution

The fourth proportional to 10,422.80, 15,626.20 and 5,232.40 is: 7,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.80 : 15,626.20 = 5,232.40 : x
  2. Step 2: Convert to fraction form
    10,422.80/15,626.20 = 5,232.40/x
  3. Step 3: Cross multiply
    10,422.80x = 15,626.20 × 5,232.40
  4. Step 4: Simplify right side
    10,422.80x = 81,762,528.88
  5. Step 5: Solve for x
    x = 81,762,528.88/10,422.80
  6. Step 6: Final answer
    x = 7,844.58

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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.