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Finding the Fourth Proportional to 10,282.60, 15,420.30 and 5,350.60

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Solution

The fourth proportional to 10,282.60, 15,420.30 and 5,350.60 is: 8,024.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.60 : 15,420.30 = 5,350.60 : x
  2. Step 2: Convert to fraction form
    10,282.60/15,420.30 = 5,350.60/x
  3. Step 3: Cross multiply
    10,282.60x = 15,420.30 × 5,350.60
  4. Step 4: Simplify right side
    10,282.60x = 82,507,857.18
  5. Step 5: Solve for x
    x = 82,507,857.18/10,282.60
  6. Step 6: Final answer
    x = 8,024.03

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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.