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Finding the Fourth Proportional to 7,202.52, 10,803.76 and 2,816.90

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Solution

The fourth proportional to 7,202.52, 10,803.76 and 2,816.90 is: 4,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.52 : 10,803.76 = 2,816.90 : x
  2. Step 2: Convert to fraction form
    7,202.52/10,803.76 = 2,816.90/x
  3. Step 3: Cross multiply
    7,202.52x = 10,803.76 × 2,816.90
  4. Step 4: Simplify right side
    7,202.52x = 30,433,111.54
  5. Step 5: Solve for x
    x = 30,433,111.54/7,202.52
  6. Step 6: Final answer
    x = 4,225.34

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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.