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Finding the Fourth Proportional to 7,649.36, 11,475.72 and 3,032.24

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Solution

The fourth proportional to 7,649.36, 11,475.72 and 3,032.24 is: 4,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.36 : 11,475.72 = 3,032.24 : x
  2. Step 2: Convert to fraction form
    7,649.36/11,475.72 = 3,032.24/x
  3. Step 3: Cross multiply
    7,649.36x = 11,475.72 × 3,032.24
  4. Step 4: Simplify right side
    7,649.36x = 34,797,137.21
  5. Step 5: Solve for x
    x = 34,797,137.21/7,649.36
  6. Step 6: Final answer
    x = 4,549.03

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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.