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Finding the Fourth Proportional to 7,645.04, 11,467.20 and 3,024.80

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Solution

The fourth proportional to 7,645.04, 11,467.20 and 3,024.80 is: 4,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.04 : 11,467.20 = 3,024.80 : x
  2. Step 2: Convert to fraction form
    7,645.04/11,467.20 = 3,024.80/x
  3. Step 3: Cross multiply
    7,645.04x = 11,467.20 × 3,024.80
  4. Step 4: Simplify right side
    7,645.04x = 34,685,986.56
  5. Step 5: Solve for x
    x = 34,685,986.56/7,645.04
  6. Step 6: Final answer
    x = 4,537.06

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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.