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Finding the Fourth Proportional to 7,202.34, 10,803.60 and 2,585.34

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Solution

The fourth proportional to 7,202.34, 10,803.60 and 2,585.34 is: 3,878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.34 : 10,803.60 = 2,585.34 : x
  2. Step 2: Convert to fraction form
    7,202.34/10,803.60 = 2,585.34/x
  3. Step 3: Cross multiply
    7,202.34x = 10,803.60 × 2,585.34
  4. Step 4: Simplify right side
    7,202.34x = 27,930,979.22
  5. Step 5: Solve for x
    x = 27,930,979.22/7,202.34
  6. Step 6: Final answer
    x = 3,878.04

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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.