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Finding the Fourth Proportional to 7,649.25, 11,475.90 and 2,455.26

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Solution

The fourth proportional to 7,649.25, 11,475.90 and 2,455.26 is: 3,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.25 : 11,475.90 = 2,455.26 : x
  2. Step 2: Convert to fraction form
    7,649.25/11,475.90 = 2,455.26/x
  3. Step 3: Cross multiply
    7,649.25x = 11,475.90 × 2,455.26
  4. Step 4: Simplify right side
    7,649.25x = 28,176,318.23
  5. Step 5: Solve for x
    x = 28,176,318.23/7,649.25
  6. Step 6: Final answer
    x = 3,683.54

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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.