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Finding the Fourth Proportional to 10,142.75, 15,219.48 and 7,200.20

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Solution

The fourth proportional to 10,142.75, 15,219.48 and 7,200.20 is: 10,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.75 : 15,219.48 = 7,200.20 : x
  2. Step 2: Convert to fraction form
    10,142.75/15,219.48 = 7,200.20/x
  3. Step 3: Cross multiply
    10,142.75x = 15,219.48 × 7,200.20
  4. Step 4: Simplify right side
    10,142.75x = 109,583,223.80
  5. Step 5: Solve for x
    x = 109,583,223.80/10,142.75
  6. Step 6: Final answer
    x = 10,804.10

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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.