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Finding the Fourth Proportional to 7,465.90, 11,171.46 and 6,230.26

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Solution

The fourth proportional to 7,465.90, 11,171.46 and 6,230.26 is: 9,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.90 : 11,171.46 = 6,230.26 : x
  2. Step 2: Convert to fraction form
    7,465.90/11,171.46 = 6,230.26/x
  3. Step 3: Cross multiply
    7,465.90x = 11,171.46 × 6,230.26
  4. Step 4: Simplify right side
    7,465.90x = 69,601,100.38
  5. Step 5: Solve for x
    x = 69,601,100.38/7,465.90
  6. Step 6: Final answer
    x = 9,322.53

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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.