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Finding the Fourth Proportional to 7,232.25, 10,830.96 and 3,525.42

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Solution

The fourth proportional to 7,232.25, 10,830.96 and 3,525.42 is: 5,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.25 : 10,830.96 = 3,525.42 : x
  2. Step 2: Convert to fraction form
    7,232.25/10,830.96 = 3,525.42/x
  3. Step 3: Cross multiply
    7,232.25x = 10,830.96 × 3,525.42
  4. Step 4: Simplify right side
    7,232.25x = 38,183,683.00
  5. Step 5: Solve for x
    x = 38,183,683.00/7,232.25
  6. Step 6: Final answer
    x = 5,279.64

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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.